|\^/| Maple 12 (IBM INTEL LINUX) ._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008 \ MAPLE / All rights reserved. Maple is a trademark of <____ ____> Waterloo Maple Inc. | Type ? for help. > #BEGIN OUTFILE1 > > # Begin Function number 3 > display_alot := proc(iter) > global > DEBUGMASSIVE, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > glob_max_terms, > #Top Generate Globals Decl > glob_current_iter, > glob_orig_start_sec, > glob_smallish_float, > glob_hmax, > glob_log10relerr, > glob_iter, > glob_unchanged_h_cnt, > glob_max_rel_trunc_err, > glob_max_hours, > glob_look_poles, > glob_hmin, > glob_optimal_done, > glob_optimal_clock_start_sec, > glob_hmin_init, > glob_clock_sec, > djd_debug2, > glob_display_flag, > glob_max_opt_iter, > glob_subiter_method, > glob_percent_done, > glob_max_iter, > min_in_hour, > glob_dump, > glob_small_float, > glob_max_trunc_err, > glob_abserr, > glob_not_yet_start_msg, > djd_debug, > glob_html_log, > MAX_UNCHANGED, > glob_curr_iter_when_opt, > glob_warned2, > glob_dump_analytic, > centuries_in_millinium, > glob_optimal_expect_sec, > glob_no_eqs, > glob_last_good_h, > glob_large_float, > glob_h, > sec_in_min, > glob_start, > glob_relerr, > glob_log10_relerr, > glob_initial_pass, > glob_not_yet_finished, > years_in_century, > glob_log10normmin, > glob_max_minutes, > glob_normmax, > glob_warned, > glob_disp_incr, > glob_reached_optimal_h, > glob_log10abserr, > glob_max_sec, > glob_almost_1, > days_in_year, > hours_in_day, > glob_optimal_start, > glob_log10_abserr, > glob_clock_start_sec, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #END CONST > array_m1, > array_y1, > array_y2, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_y2_init, > array_1st_rel_error, > array_y1_init, > array_type_pole, > array_fact_1, > array_last_rel_error, > array_pole, > array_norms, > array_x, > array_y1_higher, > array_poles, > array_y2_set_initial, > array_y2_higher_work, > array_y1_higher_work, > array_y1_higher_work2, > array_complex_pole, > array_y2_higher_work2, > array_y2_higher, > array_fact_2, > array_real_pole, > array_y1_set_initial, > glob_last; > > local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; > #TOP DISPLAY ALOT > if (iter >= 0) then # if number 1 > ind_var := array_x[1]; > omniout_float(ALWAYS,"x[1] ",33,ind_var,20," "); > analytic_val_y := exact_soln_y1(ind_var); > omniout_float(ALWAYS,"y1[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y1[term_no]; > abserr := abs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y1[1] (numeric) ",33,numeric_val,20," "); > if (abs(analytic_val_y) <> 0.0) then # if number 2 > relerr := abserr*100.0/abs(analytic_val_y); > else > relerr := -1.0 ; > fi;# end if 2 > ; > if glob_iter = 1 then # if number 2 > array_1st_rel_error[1] := relerr; > else > array_last_rel_error[1] := relerr; > fi;# end if 2 > ; > omniout_float(ALWAYS,"absolute error ",4,abserr,20," "); > omniout_float(ALWAYS,"relative error ",4,relerr,20,"%"); > omniout_float(ALWAYS,"h ",4,glob_h,20," "); > ; > analytic_val_y := exact_soln_y2(ind_var); > omniout_float(ALWAYS,"y2[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y2[term_no]; > abserr := abs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y2[1] (numeric) ",33,numeric_val,20," "); > if (abs(analytic_val_y) <> 0.0) then # if number 2 > relerr := abserr*100.0/abs(analytic_val_y); > else > relerr := -1.0 ; > fi;# end if 2 > ; > if glob_iter = 1 then # if number 2 > array_1st_rel_error[2] := relerr; > else > array_last_rel_error[2] := relerr; > fi;# end if 2 > ; > omniout_float(ALWAYS,"absolute error ",4,abserr,20," "); > omniout_float(ALWAYS,"relative error ",4,relerr,20,"%"); > omniout_float(ALWAYS,"h ",4,glob_h,20," "); > #BOTTOM DISPLAY ALOT > fi;# end if 1 > ; > # End Function number 3 > end; display_alot := proc(iter) local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; global DEBUGMASSIVE, glob_iolevel, ALWAYS, INFO, DEBUGL, glob_max_terms, glob_current_iter, glob_orig_start_sec, glob_smallish_float, glob_hmax, glob_log10relerr, glob_iter, glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_max_hours, glob_look_poles, glob_hmin, glob_optimal_done, glob_optimal_clock_start_sec, glob_hmin_init, glob_clock_sec, djd_debug2, glob_display_flag, glob_max_opt_iter, glob_subiter_method, glob_percent_done, glob_max_iter, min_in_hour, glob_dump, glob_small_float, glob_max_trunc_err, glob_abserr, glob_not_yet_start_msg, djd_debug, glob_html_log, MAX_UNCHANGED, glob_curr_iter_when_opt, glob_warned2, glob_dump_analytic, centuries_in_millinium, glob_optimal_expect_sec, glob_no_eqs, glob_last_good_h, glob_large_float, glob_h, sec_in_min, glob_start, glob_relerr, glob_log10_relerr, glob_initial_pass, glob_not_yet_finished, years_in_century, glob_log10normmin, glob_max_minutes, glob_normmax, glob_warned, glob_disp_incr, glob_reached_optimal_h, glob_log10abserr, glob_max_sec, glob_almost_1, days_in_year, hours_in_day, glob_optimal_start, glob_log10_abserr, glob_clock_start_sec, array_const_1, array_const_0D0, array_const_1D0, array_m1, array_y1, array_y2, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_y2_init, array_1st_rel_error, array_y1_init, array_type_pole, array_fact_1, array_last_rel_error, array_pole, array_norms, array_x, array_y1_higher, array_poles, array_y2_set_initial, array_y2_higher_work, array_y1_higher_work, array_y1_higher_work2, array_complex_pole, array_y2_higher_work2, array_y2_higher, array_fact_2, array_real_pole, array_y1_set_initial, glob_last; if 0 <= iter then ind_var := array_x[1]; omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "); analytic_val_y := exact_soln_y1(ind_var); omniout_float(ALWAYS, "y1[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y1[term_no]; abserr := abs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y1[1] (numeric) ", 33, numeric_val, 20, " "); if abs(analytic_val_y) <> 0. then relerr := abserr*100.0/abs(analytic_val_y) else relerr := -1.0 end if; if glob_iter = 1 then array_1st_rel_error[1] := relerr else array_last_rel_error[1] := relerr end if; omniout_float(ALWAYS, "absolute error ", 4, abserr, 20, " "); omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"); omniout_float(ALWAYS, "h ", 4, glob_h, 20, " "); analytic_val_y := exact_soln_y2(ind_var); omniout_float(ALWAYS, "y2[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y2[term_no]; abserr := abs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y2[1] (numeric) ", 33, numeric_val, 20, " "); if abs(analytic_val_y) <> 0. then relerr := abserr*100.0/abs(analytic_val_y) else relerr := -1.0 end if; if glob_iter = 1 then array_1st_rel_error[2] := relerr else array_last_rel_error[2] := relerr end if; omniout_float(ALWAYS, "absolute error ", 4, abserr, 20, " "); omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"); omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ") end if end proc > # Begin Function number 4 > adjust_for_pole := proc(h_param) > global > DEBUGMASSIVE, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > glob_max_terms, > #Top Generate Globals Decl > glob_current_iter, > glob_orig_start_sec, > glob_smallish_float, > glob_hmax, > glob_log10relerr, > glob_iter, > glob_unchanged_h_cnt, > glob_max_rel_trunc_err, > glob_max_hours, > glob_look_poles, > glob_hmin, > glob_optimal_done, > glob_optimal_clock_start_sec, > glob_hmin_init, > glob_clock_sec, > djd_debug2, > glob_display_flag, > glob_max_opt_iter, > glob_subiter_method, > glob_percent_done, > glob_max_iter, > min_in_hour, > glob_dump, > glob_small_float, > glob_max_trunc_err, > glob_abserr, > glob_not_yet_start_msg, > djd_debug, > glob_html_log, > MAX_UNCHANGED, > glob_curr_iter_when_opt, > glob_warned2, > glob_dump_analytic, > centuries_in_millinium, > glob_optimal_expect_sec, > glob_no_eqs, > glob_last_good_h, > glob_large_float, > glob_h, > sec_in_min, > glob_start, > glob_relerr, > glob_log10_relerr, > glob_initial_pass, > glob_not_yet_finished, > years_in_century, > glob_log10normmin, > glob_max_minutes, > glob_normmax, > glob_warned, > glob_disp_incr, > glob_reached_optimal_h, > glob_log10abserr, > glob_max_sec, > glob_almost_1, > days_in_year, > hours_in_day, > glob_optimal_start, > glob_log10_abserr, > glob_clock_start_sec, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #END CONST > array_m1, > array_y1, > array_y2, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_y2_init, > array_1st_rel_error, > array_y1_init, > array_type_pole, > array_fact_1, > array_last_rel_error, > array_pole, > array_norms, > array_x, > array_y1_higher, > array_poles, > array_y2_set_initial, > array_y2_higher_work, > array_y1_higher_work, > array_y1_higher_work2, > array_complex_pole, > array_y2_higher_work2, > array_y2_higher, > array_fact_2, > array_real_pole, > array_y1_set_initial, > glob_last; > > local hnew, sz2, tmp; > #TOP ADJUST FOR POLE > > hnew := h_param; > glob_normmax := glob_small_float; > if (abs(array_y1_higher[1,1]) > glob_small_float) then # if number 1 > tmp := abs(array_y1_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1 > ; > if (abs(array_y2_higher[1,1]) > glob_small_float) then # if number 1 > tmp := abs(array_y2_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1 > ; > if (glob_look_poles and (abs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1 > sz2 := array_pole[1]/10.0; > if (sz2 < hnew) then # if number 2 > omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity."); > omniout_str(INFO,"Reached Optimal"); > newline(); > return(hnew); > fi;# end if 2 > fi;# end if 1 > ; > if (not glob_reached_optimal_h) then # if number 1 > glob_reached_optimal_h := true; > glob_curr_iter_when_opt := glob_current_iter; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > glob_optimal_start := array_x[1]; > fi;# end if 1 > ; > hnew := sz2; > #END block > #BOTTOM ADJUST FOR POLE > # End Function number 4 > end; adjust_for_pole := proc(h_param) local hnew, sz2, tmp; global DEBUGMASSIVE, glob_iolevel, ALWAYS, INFO, DEBUGL, glob_max_terms, glob_current_iter, glob_orig_start_sec, glob_smallish_float, glob_hmax, glob_log10relerr, glob_iter, glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_max_hours, glob_look_poles, glob_hmin, glob_optimal_done, glob_optimal_clock_start_sec, glob_hmin_init, glob_clock_sec, djd_debug2, glob_display_flag, glob_max_opt_iter, glob_subiter_method, glob_percent_done, glob_max_iter, min_in_hour, glob_dump, glob_small_float, glob_max_trunc_err, glob_abserr, glob_not_yet_start_msg, djd_debug, glob_html_log, MAX_UNCHANGED, glob_curr_iter_when_opt, glob_warned2, glob_dump_analytic, centuries_in_millinium, glob_optimal_expect_sec, glob_no_eqs, glob_last_good_h, glob_large_float, glob_h, sec_in_min, glob_start, glob_relerr, glob_log10_relerr, glob_initial_pass, glob_not_yet_finished, years_in_century, glob_log10normmin, glob_max_minutes, glob_normmax, glob_warned, glob_disp_incr, glob_reached_optimal_h, glob_log10abserr, glob_max_sec, glob_almost_1, days_in_year, hours_in_day, glob_optimal_start, glob_log10_abserr, glob_clock_start_sec, array_const_1, array_const_0D0, array_const_1D0, array_m1, array_y1, array_y2, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_y2_init, array_1st_rel_error, array_y1_init, array_type_pole, array_fact_1, array_last_rel_error, array_pole, array_norms, array_x, array_y1_higher, array_poles, array_y2_set_initial, array_y2_higher_work, array_y1_higher_work, array_y1_higher_work2, array_complex_pole, array_y2_higher_work2, array_y2_higher, array_fact_2, array_real_pole, array_y1_set_initial, glob_last; hnew := h_param; glob_normmax := glob_small_float; if glob_small_float < abs(array_y1_higher[1, 1]) then tmp := abs(array_y1_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_small_float < abs(array_y2_higher[1, 1]) then tmp := abs(array_y2_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_look_poles and glob_small_float < abs(array_pole[1]) and array_pole[1] <> glob_large_float then sz2 := array_pole[1]/10.0; if sz2 < hnew then omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."); omniout_str(INFO, "Reached Optimal"); newline(); return hnew end if end if; if not glob_reached_optimal_h then glob_reached_optimal_h := true; glob_curr_iter_when_opt := glob_current_iter; glob_optimal_clock_start_sec := elapsed_time_seconds(); glob_optimal_start := array_x[1] end if; hnew := sz2 end proc > # Begin Function number 5 > prog_report := proc(x_start,x_end) > global > DEBUGMASSIVE, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > glob_max_terms, > #Top Generate Globals Decl > glob_current_iter, > glob_orig_start_sec, > glob_smallish_float, > glob_hmax, > glob_log10relerr, > glob_iter, > glob_unchanged_h_cnt, > glob_max_rel_trunc_err, > glob_max_hours, > glob_look_poles, > glob_hmin, > glob_optimal_done, > glob_optimal_clock_start_sec, > glob_hmin_init, > glob_clock_sec, > djd_debug2, > glob_display_flag, > glob_max_opt_iter, > glob_subiter_method, > glob_percent_done, > glob_max_iter, > min_in_hour, > glob_dump, > glob_small_float, > glob_max_trunc_err, > glob_abserr, > glob_not_yet_start_msg, > djd_debug, > glob_html_log, > MAX_UNCHANGED, > glob_curr_iter_when_opt, > glob_warned2, > glob_dump_analytic, > centuries_in_millinium, > glob_optimal_expect_sec, > glob_no_eqs, > glob_last_good_h, > glob_large_float, > glob_h, > sec_in_min, > glob_start, > glob_relerr, > glob_log10_relerr, > glob_initial_pass, > glob_not_yet_finished, > years_in_century, > glob_log10normmin, > glob_max_minutes, > glob_normmax, > glob_warned, > glob_disp_incr, > glob_reached_optimal_h, > glob_log10abserr, > glob_max_sec, > glob_almost_1, > days_in_year, > hours_in_day, > glob_optimal_start, > glob_log10_abserr, > glob_clock_start_sec, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #END CONST > array_m1, > array_y1, > array_y2, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_y2_init, > array_1st_rel_error, > array_y1_init, > array_type_pole, > array_fact_1, > array_last_rel_error, > array_pole, > array_norms, > array_x, > array_y1_higher, > array_poles, > array_y2_set_initial, > array_y2_higher_work, > array_y1_higher_work, > array_y1_higher_work2, > array_complex_pole, > array_y2_higher_work2, > array_y2_higher, > array_fact_2, > array_real_pole, > array_y1_set_initial, > glob_last; > > local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; > #TOP PROGRESS REPORT > clock_sec1 := elapsed_time_seconds(); > total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); > glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); > left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); > expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec)); > opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec); > glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec)); > percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h)); > glob_percent_done := percent_done; > omniout_str_noeol(INFO,"Total Elapsed Time "); > omniout_timestr(convfloat(total_clock_sec)); > omniout_str_noeol(INFO,"Elapsed Time(since restart) "); > omniout_timestr(convfloat(glob_clock_sec)); > if convfloat(percent_done) < convfloat(100.0) then # if number 1 > omniout_str_noeol(INFO,"Expected Time Remaining "); > omniout_timestr(convfloat(expect_sec)); > omniout_str_noeol(INFO,"Optimized Time Remaining "); > omniout_timestr(convfloat(glob_optimal_expect_sec)); > fi;# end if 1 > ; > omniout_str_noeol(INFO,"Time to Timeout "); > omniout_timestr(convfloat(left_sec)); > omniout_float(INFO, "Percent Done ",33,percent_done,4,"%"); > #BOTTOM PROGRESS REPORT > # End Function number 5 > end; prog_report := proc(x_start, x_end) local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; global DEBUGMASSIVE, glob_iolevel, ALWAYS, INFO, DEBUGL, glob_max_terms, glob_current_iter, glob_orig_start_sec, glob_smallish_float, glob_hmax, glob_log10relerr, glob_iter, glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_max_hours, glob_look_poles, glob_hmin, glob_optimal_done, glob_optimal_clock_start_sec, glob_hmin_init, glob_clock_sec, djd_debug2, glob_display_flag, glob_max_opt_iter, glob_subiter_method, glob_percent_done, glob_max_iter, min_in_hour, glob_dump, glob_small_float, glob_max_trunc_err, glob_abserr, glob_not_yet_start_msg, djd_debug, glob_html_log, MAX_UNCHANGED, glob_curr_iter_when_opt, glob_warned2, glob_dump_analytic, centuries_in_millinium, glob_optimal_expect_sec, glob_no_eqs, glob_last_good_h, glob_large_float, glob_h, sec_in_min, glob_start, glob_relerr, glob_log10_relerr, glob_initial_pass, glob_not_yet_finished, years_in_century, glob_log10normmin, glob_max_minutes, glob_normmax, glob_warned, glob_disp_incr, glob_reached_optimal_h, glob_log10abserr, glob_max_sec, glob_almost_1, days_in_year, hours_in_day, glob_optimal_start, glob_log10_abserr, glob_clock_start_sec, array_const_1, array_const_0D0, array_const_1D0, array_m1, array_y1, array_y2, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_y2_init, array_1st_rel_error, array_y1_init, array_type_pole, array_fact_1, array_last_rel_error, array_pole, array_norms, array_x, array_y1_higher, array_poles, array_y2_set_initial, array_y2_higher_work, array_y1_higher_work, array_y1_higher_work2, array_complex_pole, array_y2_higher_work2, array_y2_higher, array_fact_2, array_real_pole, array_y1_set_initial, glob_last; clock_sec1 := elapsed_time_seconds(); total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(clock_sec1) - convfloat(glob_orig_start_sec)); opt_clock_sec := convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec); glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(opt_clock_sec)); percent_done := comp_percent(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h)); glob_percent_done := percent_done; omniout_str_noeol(INFO, "Total Elapsed Time "); omniout_timestr(convfloat(total_clock_sec)); omniout_str_noeol(INFO, "Elapsed Time(since restart) "); omniout_timestr(convfloat(glob_clock_sec)); if convfloat(percent_done) < convfloat(100.0) then omniout_str_noeol(INFO, "Expected Time Remaining "); omniout_timestr(convfloat(expect_sec)); omniout_str_noeol(INFO, "Optimized Time Remaining "); omniout_timestr(convfloat(glob_optimal_expect_sec)) end if; omniout_str_noeol(INFO, "Time to Timeout "); omniout_timestr(convfloat(left_sec)); omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%") end proc > # Begin Function number 6 > check_for_pole := proc() > global > DEBUGMASSIVE, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > glob_max_terms, > #Top Generate Globals Decl > glob_current_iter, > glob_orig_start_sec, > glob_smallish_float, > glob_hmax, > glob_log10relerr, > glob_iter, > glob_unchanged_h_cnt, > glob_max_rel_trunc_err, > glob_max_hours, > glob_look_poles, > glob_hmin, > glob_optimal_done, > glob_optimal_clock_start_sec, > glob_hmin_init, > glob_clock_sec, > djd_debug2, > glob_display_flag, > glob_max_opt_iter, > glob_subiter_method, > glob_percent_done, > glob_max_iter, > min_in_hour, > glob_dump, > glob_small_float, > glob_max_trunc_err, > glob_abserr, > glob_not_yet_start_msg, > djd_debug, > glob_html_log, > MAX_UNCHANGED, > glob_curr_iter_when_opt, > glob_warned2, > glob_dump_analytic, > centuries_in_millinium, > glob_optimal_expect_sec, > glob_no_eqs, > glob_last_good_h, > glob_large_float, > glob_h, > sec_in_min, > glob_start, > glob_relerr, > glob_log10_relerr, > glob_initial_pass, > glob_not_yet_finished, > years_in_century, > glob_log10normmin, > glob_max_minutes, > glob_normmax, > glob_warned, > glob_disp_incr, > glob_reached_optimal_h, > glob_log10abserr, > glob_max_sec, > glob_almost_1, > days_in_year, > hours_in_day, > glob_optimal_start, > glob_log10_abserr, > glob_clock_start_sec, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #END CONST > array_m1, > array_y1, > array_y2, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_y2_init, > array_1st_rel_error, > array_y1_init, > array_type_pole, > array_fact_1, > array_last_rel_error, > array_pole, > array_norms, > array_x, > array_y1_higher, > array_poles, > array_y2_set_initial, > array_y2_higher_work, > array_y1_higher_work, > array_y1_higher_work2, > array_complex_pole, > array_y2_higher_work2, > array_y2_higher, > array_fact_2, > array_real_pole, > array_y1_set_initial, > glob_last; > > local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found; > #TOP CHECK FOR POLE > #IN RADII REAL EQ = 1 > #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1 > #Applies to pole of arbitrary r_order on the real axis, > #Due to Prof. George Corliss. > n := glob_max_terms; > m := n - 1 - 1; > while ((m >= 10) and ((abs(array_y1_higher[1,m]) < glob_small_float) or (abs(array_y1_higher[1,m-1]) < glob_small_float) or (abs(array_y1_higher[1,m-2]) < glob_small_float ))) do # do number 2 > m := m - 1; > od;# end do number 2 > ; > if (m > 10) then # if number 1 > rm0 := array_y1_higher[1,m]/array_y1_higher[1,m-1]; > rm1 := array_y1_higher[1,m-1]/array_y1_higher[1,m-2]; > hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1; > if (abs(hdrc) > glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0; > array_real_pole[1,1] := rcs; > array_real_pole[1,2] := ord_no; > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 2 > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 1 > ; > #BOTTOM RADII REAL EQ = 1 > #IN RADII REAL EQ = 2 > #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 2 > #Applies to pole of arbitrary r_order on the real axis, > #Due to Prof. George Corliss. > n := glob_max_terms; > m := n - 1 - 1; > while ((m >= 10) and ((abs(array_y2_higher[1,m]) < glob_small_float) or (abs(array_y2_higher[1,m-1]) < glob_small_float) or (abs(array_y2_higher[1,m-2]) < glob_small_float ))) do # do number 2 > m := m - 1; > od;# end do number 2 > ; > if (m > 10) then # if number 1 > rm0 := array_y2_higher[1,m]/array_y2_higher[1,m-1]; > rm1 := array_y2_higher[1,m-1]/array_y2_higher[1,m-2]; > hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1; > if (abs(hdrc) > glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0; > array_real_pole[2,1] := rcs; > array_real_pole[2,2] := ord_no; > else > array_real_pole[2,1] := glob_large_float; > array_real_pole[2,2] := glob_large_float; > fi;# end if 2 > else > array_real_pole[2,1] := glob_large_float; > array_real_pole[2,2] := glob_large_float; > fi;# end if 1 > ; > #BOTTOM RADII REAL EQ = 2 > #TOP RADII COMPLEX EQ = 1 > #Computes radius of convergence for complex conjugate pair of poles. > #from 6 adjacent Taylor series terms > #Also computes r_order of poles. > #Due to Manuel Prieto. > #With a correction by Dennis J. Darland > n := glob_max_terms - 1 - 1; > cnt := 0; > while ((cnt < 5) and (n >= 10)) do # do number 2 > if (abs(array_y1_higher[1,n]) > glob_small_float) then # if number 1 > cnt := cnt + 1; > else > cnt := 0; > fi;# end if 1 > ; > n := n - 1; > od;# end do number 2 > ; > m := n + cnt; > if (m <= 10) then # if number 1 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := glob_large_float; > elif (abs(array_y1_higher[1,m]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-1]) >=(glob_large_float)) or (abs(array_y1_higher[1,m-2]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-3]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-4]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-5]) >= (glob_large_float)) then # if number 2 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := glob_large_float; > else > rm0 := (array_y1_higher[1,m])/(array_y1_higher[1,m-1]); > rm1 := (array_y1_higher[1,m-1])/(array_y1_higher[1,m-2]); > rm2 := (array_y1_higher[1,m-2])/(array_y1_higher[1,m-3]); > rm3 := (array_y1_higher[1,m-3])/(array_y1_higher[1,m-4]); > rm4 := (array_y1_higher[1,m-4])/(array_y1_higher[1,m-5]); > nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2; > nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3; > dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3; > dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4; > ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; > ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; > if ((abs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (abs(dr1) <= glob_small_float)) then # if number 3 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := glob_large_float; > else > if (abs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4 > rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1)); > #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1) > ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0; > if (abs(rcs) > glob_small_float) then # if number 5 > if (rcs > 0.0) then # if number 6 > rad_c := sqrt(rcs) * glob_h; > else > rad_c := glob_large_float; > fi;# end if 6 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 5 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 4 > fi;# end if 3 > ; > array_complex_pole[1,1] := rad_c; > array_complex_pole[1,2] := ord_no; > fi;# end if 2 > ; > #BOTTOM RADII COMPLEX EQ = 1 > #TOP RADII COMPLEX EQ = 2 > #Computes radius of convergence for complex conjugate pair of poles. > #from 6 adjacent Taylor series terms > #Also computes r_order of poles. > #Due to Manuel Prieto. > #With a correction by Dennis J. Darland > n := glob_max_terms - 1 - 1; > cnt := 0; > while ((cnt < 5) and (n >= 10)) do # do number 2 > if (abs(array_y2_higher[1,n]) > glob_small_float) then # if number 2 > cnt := cnt + 1; > else > cnt := 0; > fi;# end if 2 > ; > n := n - 1; > od;# end do number 2 > ; > m := n + cnt; > if (m <= 10) then # if number 2 > array_complex_pole[2,1] := glob_large_float; > array_complex_pole[2,2] := glob_large_float; > elif (abs(array_y2_higher[1,m]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-1]) >=(glob_large_float)) or (abs(array_y2_higher[1,m-2]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-3]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-4]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-5]) >= (glob_large_float)) then # if number 3 > array_complex_pole[2,1] := glob_large_float; > array_complex_pole[2,2] := glob_large_float; > else > rm0 := (array_y2_higher[1,m])/(array_y2_higher[1,m-1]); > rm1 := (array_y2_higher[1,m-1])/(array_y2_higher[1,m-2]); > rm2 := (array_y2_higher[1,m-2])/(array_y2_higher[1,m-3]); > rm3 := (array_y2_higher[1,m-3])/(array_y2_higher[1,m-4]); > rm4 := (array_y2_higher[1,m-4])/(array_y2_higher[1,m-5]); > nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2; > nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3; > dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3; > dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4; > ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; > ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; > if ((abs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (abs(dr1) <= glob_small_float)) then # if number 4 > array_complex_pole[2,1] := glob_large_float; > array_complex_pole[2,2] := glob_large_float; > else > if (abs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 5 > rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1)); > #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1) > ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0; > if (abs(rcs) > glob_small_float) then # if number 6 > if (rcs > 0.0) then # if number 7 > rad_c := sqrt(rcs) * glob_h; > else > rad_c := glob_large_float; > fi;# end if 7 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 6 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 5 > fi;# end if 4 > ; > array_complex_pole[2,1] := rad_c; > array_complex_pole[2,2] := ord_no; > fi;# end if 3 > ; > #BOTTOM RADII COMPLEX EQ = 2 > found := false; > #TOP WHICH RADII EQ = 1 > if not found and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 3 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > found := true; > array_type_pole[1] := 2; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0))) then # if number 3 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found := true; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float))) then # if number 3 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > found := true; > array_type_pole[1] := 3; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0)) then # if number 3 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found := true; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 3 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > array_type_pole[1] := 2; > found := true; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found then # if number 3 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > array_type_pole[1] := 3; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 4 > ; > fi;# end if 3 > ; > #BOTTOM WHICH RADII EQ = 1 > found := false; > #TOP WHICH RADII EQ = 2 > if not found and ((array_real_pole[2,1] = glob_large_float) or (array_real_pole[2,2] = glob_large_float)) and ((array_complex_pole[2,1] <> glob_large_float) and (array_complex_pole[2,2] <> glob_large_float)) and ((array_complex_pole[2,1] > 0.0) and (array_complex_pole[2,2] > 0.0)) then # if number 3 > array_poles[2,1] := array_complex_pole[2,1]; > array_poles[2,2] := array_complex_pole[2,2]; > found := true; > array_type_pole[2] := 2; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_real_pole[2,1] <> glob_large_float) and (array_real_pole[2,2] <> glob_large_float) and (array_real_pole[2,1] > 0.0) and (array_real_pole[2,2] > 0.0) and ((array_complex_pole[2,1] = glob_large_float) or (array_complex_pole[2,2] = glob_large_float) or (array_complex_pole[2,1] <= 0.0 ) or (array_complex_pole[2,2] <= 0.0))) then # if number 3 > array_poles[2,1] := array_real_pole[2,1]; > array_poles[2,2] := array_real_pole[2,2]; > found := true; > array_type_pole[2] := 1; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and (((array_real_pole[2,1] = glob_large_float) or (array_real_pole[2,2] = glob_large_float)) and ((array_complex_pole[2,1] = glob_large_float) or (array_complex_pole[2,2] = glob_large_float))) then # if number 3 > array_poles[2,1] := glob_large_float; > array_poles[2,2] := glob_large_float; > found := true; > array_type_pole[2] := 3; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_real_pole[2,1] < array_complex_pole[2,1]) and (array_real_pole[2,1] > 0.0) and (array_real_pole[2,2] > 0.0)) then # if number 3 > array_poles[2,1] := array_real_pole[2,1]; > array_poles[2,2] := array_real_pole[2,2]; > found := true; > array_type_pole[2] := 1; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_complex_pole[2,1] <> glob_large_float) and (array_complex_pole[2,2] <> glob_large_float) and (array_complex_pole[2,1] > 0.0) and (array_complex_pole[2,2] > 0.0)) then # if number 3 > array_poles[2,1] := array_complex_pole[2,1]; > array_poles[2,2] := array_complex_pole[2,2]; > array_type_pole[2] := 2; > found := true; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found then # if number 3 > array_poles[2,1] := glob_large_float; > array_poles[2,2] := glob_large_float; > array_type_pole[2] := 3; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 4 > ; > fi;# end if 3 > ; > #BOTTOM WHICH RADII EQ = 2 > array_pole[1] := glob_large_float; > array_pole[2] := glob_large_float; > #TOP WHICH RADIUS EQ = 1 > if array_pole[1] > array_poles[1,1] then # if number 3 > array_pole[1] := array_poles[1,1]; > array_pole[2] := array_poles[1,2]; > fi;# end if 3 > ; > #BOTTOM WHICH RADIUS EQ = 1 > #TOP WHICH RADIUS EQ = 2 > if array_pole[1] > array_poles[2,1] then # if number 3 > array_pole[1] := array_poles[2,1]; > array_pole[2] := array_poles[2,2]; > fi;# end if 3 > ; > #BOTTOM WHICH RADIUS EQ = 2 > #BOTTOM CHECK FOR POLE > display_pole(); > # End Function number 6 > end; check_for_pole := proc() local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found; global DEBUGMASSIVE, glob_iolevel, ALWAYS, INFO, DEBUGL, glob_max_terms, glob_current_iter, glob_orig_start_sec, glob_smallish_float, glob_hmax, glob_log10relerr, glob_iter, glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_max_hours, glob_look_poles, glob_hmin, glob_optimal_done, glob_optimal_clock_start_sec, glob_hmin_init, glob_clock_sec, djd_debug2, glob_display_flag, glob_max_opt_iter, glob_subiter_method, glob_percent_done, glob_max_iter, min_in_hour, glob_dump, glob_small_float, glob_max_trunc_err, glob_abserr, glob_not_yet_start_msg, djd_debug, glob_html_log, MAX_UNCHANGED, glob_curr_iter_when_opt, glob_warned2, glob_dump_analytic, centuries_in_millinium, glob_optimal_expect_sec, glob_no_eqs, glob_last_good_h, glob_large_float, glob_h, sec_in_min, glob_start, glob_relerr, glob_log10_relerr, glob_initial_pass, glob_not_yet_finished, years_in_century, glob_log10normmin, glob_max_minutes, glob_normmax, glob_warned, glob_disp_incr, glob_reached_optimal_h, glob_log10abserr, glob_max_sec, glob_almost_1, days_in_year, hours_in_day, glob_optimal_start, glob_log10_abserr, glob_clock_start_sec, array_const_1, array_const_0D0, array_const_1D0, array_m1, array_y1, array_y2, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_y2_init, array_1st_rel_error, array_y1_init, array_type_pole, array_fact_1, array_last_rel_error, array_pole, array_norms, array_x, array_y1_higher, array_poles, array_y2_set_initial, array_y2_higher_work, array_y1_higher_work, array_y1_higher_work2, array_complex_pole, array_y2_higher_work2, array_y2_higher, array_fact_2, array_real_pole, array_y1_set_initial, glob_last; n := glob_max_terms; m := n - 2; while 10 <= m and (abs(array_y1_higher[1, m]) < glob_small_float or abs(array_y1_higher[1, m - 1]) < glob_small_float or abs(array_y1_higher[1, m - 2]) < glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_y1_higher[1, m]/array_y1_higher[1, m - 1]; rm1 := array_y1_higher[1, m - 1]/array_y1_higher[1, m - 2]; hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1; if glob_small_float < abs(hdrc) then rcs := glob_h/hdrc; ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0; array_real_pole[1, 1] := rcs; array_real_pole[1, 2] := ord_no else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if; n := glob_max_terms; m := n - 2; while 10 <= m and (abs(array_y2_higher[1, m]) < glob_small_float or abs(array_y2_higher[1, m - 1]) < glob_small_float or abs(array_y2_higher[1, m - 2]) < glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_y2_higher[1, m]/array_y2_higher[1, m - 1]; rm1 := array_y2_higher[1, m - 1]/array_y2_higher[1, m - 2]; hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1; if glob_small_float < abs(hdrc) then rcs := glob_h/hdrc; ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0; array_real_pole[2, 1] := rcs; array_real_pole[2, 2] := ord_no else array_real_pole[2, 1] := glob_large_float; array_real_pole[2, 2] := glob_large_float end if else array_real_pole[2, 1] := glob_large_float; array_real_pole[2, 2] := glob_large_float end if; n := glob_max_terms - 2; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < abs(array_y1_higher[1, n]) then cnt := cnt + 1 else cnt := 0 end if; n := n - 1 end do; m := n + cnt; if m <= 10 then array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := glob_large_float elif glob_large_float <= abs(array_y1_higher[1, m]) or glob_large_float <= abs(array_y1_higher[1, m - 1]) or glob_large_float <= abs(array_y1_higher[1, m - 2]) or glob_large_float <= abs(array_y1_higher[1, m - 3]) or glob_large_float <= abs(array_y1_higher[1, m - 4]) or glob_large_float <= abs(array_y1_higher[1, m - 5]) then array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := glob_large_float else rm0 := array_y1_higher[1, m]/array_y1_higher[1, m - 1]; rm1 := array_y1_higher[1, m - 1]/array_y1_higher[1, m - 2]; rm2 := array_y1_higher[1, m - 2]/array_y1_higher[1, m - 3]; rm3 := array_y1_higher[1, m - 3]/array_y1_higher[1, m - 4]; rm4 := array_y1_higher[1, m - 4]/array_y1_higher[1, m - 5]; nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1 + convfloat(m - 3)*rm2; nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2 + convfloat(m - 4)*rm3; dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3; dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4; ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; if abs(nr1*dr2 - nr2*dr1) <= glob_small_float or abs(dr1) <= glob_small_float then array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := glob_large_float else if glob_small_float < abs(nr1*dr2 - nr2*dr1) then rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1); ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0; if glob_small_float < abs(rcs) then if 0. < rcs then rad_c := sqrt(rcs)*glob_h else rad_c := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if end if; array_complex_pole[1, 1] := rad_c; array_complex_pole[1, 2] := ord_no end if; n := glob_max_terms - 2; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < abs(array_y2_higher[1, n]) then cnt := cnt + 1 else cnt := 0 end if; n := n - 1 end do; m := n + cnt; if m <= 10 then array_complex_pole[2, 1] := glob_large_float; array_complex_pole[2, 2] := glob_large_float elif glob_large_float <= abs(array_y2_higher[1, m]) or glob_large_float <= abs(array_y2_higher[1, m - 1]) or glob_large_float <= abs(array_y2_higher[1, m - 2]) or glob_large_float <= abs(array_y2_higher[1, m - 3]) or glob_large_float <= abs(array_y2_higher[1, m - 4]) or glob_large_float <= abs(array_y2_higher[1, m - 5]) then array_complex_pole[2, 1] := glob_large_float; array_complex_pole[2, 2] := glob_large_float else rm0 := array_y2_higher[1, m]/array_y2_higher[1, m - 1]; rm1 := array_y2_higher[1, m - 1]/array_y2_higher[1, m - 2]; rm2 := array_y2_higher[1, m - 2]/array_y2_higher[1, m - 3]; rm3 := array_y2_higher[1, m - 3]/array_y2_higher[1, m - 4]; rm4 := array_y2_higher[1, m - 4]/array_y2_higher[1, m - 5]; nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1 + convfloat(m - 3)*rm2; nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2 + convfloat(m - 4)*rm3; dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3; dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4; ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; if abs(nr1*dr2 - nr2*dr1) <= glob_small_float or abs(dr1) <= glob_small_float then array_complex_pole[2, 1] := glob_large_float; array_complex_pole[2, 2] := glob_large_float else if glob_small_float < abs(nr1*dr2 - nr2*dr1) then rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1); ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0; if glob_small_float < abs(rcs) then if 0. < rcs then rad_c := sqrt(rcs)*glob_h else rad_c := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if end if; array_complex_pole[2, 1] := rad_c; array_complex_pole[2, 2] := ord_no end if; found := false; if not found and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; found := true; array_type_pole[1] := 2; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found and array_real_pole[1, 1] <> glob_large_float and array_real_pole[1, 2] <> glob_large_float and 0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float or array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found := true; array_type_pole[1] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float) then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; found := true; array_type_pole[1] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and 0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found := true; array_type_pole[1] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; array_type_pole[1] := 2; found := true; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; array_type_pole[1] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; found := false; if not found and (array_real_pole[2, 1] = glob_large_float or array_real_pole[2, 2] = glob_large_float) and array_complex_pole[2, 1] <> glob_large_float and array_complex_pole[2, 2] <> glob_large_float and 0. < array_complex_pole[2, 1] and 0. < array_complex_pole[2, 2] then array_poles[2, 1] := array_complex_pole[2, 1]; array_poles[2, 2] := array_complex_pole[2, 2]; found := true; array_type_pole[2] := 2; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found and array_real_pole[2, 1] <> glob_large_float and array_real_pole[2, 2] <> glob_large_float and 0. < array_real_pole[2, 1] and 0. < array_real_pole[2, 2] and ( array_complex_pole[2, 1] = glob_large_float or array_complex_pole[2, 2] = glob_large_float or array_complex_pole[2, 1] <= 0. or array_complex_pole[2, 2] <= 0.) then array_poles[2, 1] := array_real_pole[2, 1]; array_poles[2, 2] := array_real_pole[2, 2]; found := true; array_type_pole[2] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found and (array_real_pole[2, 1] = glob_large_float or array_real_pole[2, 2] = glob_large_float) and ( array_complex_pole[2, 1] = glob_large_float or array_complex_pole[2, 2] = glob_large_float) then array_poles[2, 1] := glob_large_float; array_poles[2, 2] := glob_large_float; found := true; array_type_pole[2] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; if not found and array_real_pole[2, 1] < array_complex_pole[2, 1] and 0. < array_real_pole[2, 1] and 0. < array_real_pole[2, 2] then array_poles[2, 1] := array_real_pole[2, 1]; array_poles[2, 2] := array_real_pole[2, 2]; found := true; array_type_pole[2] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found and array_complex_pole[2, 1] <> glob_large_float and array_complex_pole[2, 2] <> glob_large_float and 0. < array_complex_pole[2, 1] and 0. < array_complex_pole[2, 2] then array_poles[2, 1] := array_complex_pole[2, 1]; array_poles[2, 2] := array_complex_pole[2, 2]; array_type_pole[2] := 2; found := true; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found then array_poles[2, 1] := glob_large_float; array_poles[2, 2] := glob_large_float; array_type_pole[2] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; array_pole[1] := glob_large_float; array_pole[2] := glob_large_float; if array_poles[1, 1] < array_pole[1] then array_pole[1] := array_poles[1, 1]; array_pole[2] := array_poles[1, 2] end if; if array_poles[2, 1] < array_pole[1] then array_pole[1] := array_poles[2, 1]; array_pole[2] := array_poles[2, 2] end if; display_pole() end proc > # Begin Function number 7 > get_norms := proc() > global > DEBUGMASSIVE, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > glob_max_terms, > #Top Generate Globals Decl > glob_current_iter, > glob_orig_start_sec, > glob_smallish_float, > glob_hmax, > glob_log10relerr, > glob_iter, > glob_unchanged_h_cnt, > glob_max_rel_trunc_err, > glob_max_hours, > glob_look_poles, > glob_hmin, > glob_optimal_done, > glob_optimal_clock_start_sec, > glob_hmin_init, > glob_clock_sec, > djd_debug2, > glob_display_flag, > glob_max_opt_iter, > glob_subiter_method, > glob_percent_done, > glob_max_iter, > min_in_hour, > glob_dump, > glob_small_float, > glob_max_trunc_err, > glob_abserr, > glob_not_yet_start_msg, > djd_debug, > glob_html_log, > MAX_UNCHANGED, > glob_curr_iter_when_opt, > glob_warned2, > glob_dump_analytic, > centuries_in_millinium, > glob_optimal_expect_sec, > glob_no_eqs, > glob_last_good_h, > glob_large_float, > glob_h, > sec_in_min, > glob_start, > glob_relerr, > glob_log10_relerr, > glob_initial_pass, > glob_not_yet_finished, > years_in_century, > glob_log10normmin, > glob_max_minutes, > glob_normmax, > glob_warned, > glob_disp_incr, > glob_reached_optimal_h, > glob_log10abserr, > glob_max_sec, > glob_almost_1, > days_in_year, > hours_in_day, > glob_optimal_start, > glob_log10_abserr, > glob_clock_start_sec, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #END CONST > array_m1, > array_y1, > array_y2, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_y2_init, > array_1st_rel_error, > array_y1_init, > array_type_pole, > array_fact_1, > array_last_rel_error, > array_pole, > array_norms, > array_x, > array_y1_higher, > array_poles, > array_y2_set_initial, > array_y2_higher_work, > array_y1_higher_work, > array_y1_higher_work2, > array_complex_pole, > array_y2_higher_work2, > array_y2_higher, > array_fact_2, > array_real_pole, > array_y1_set_initial, > glob_last; > > local iii; > if (not glob_initial_pass) then # if number 3 > set_z(array_norms,glob_max_terms+1); > #TOP GET NORMS > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (abs(array_y1[iii]) > array_norms[iii]) then # if number 4 > array_norms[iii] := abs(array_y1[iii]); > fi;# end if 4 > ; > iii := iii + 1; > od;# end do number 2 > ; > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (abs(array_y2[iii]) > array_norms[iii]) then # if number 4 > array_norms[iii] := abs(array_y2[iii]); > fi;# end if 4 > ; > iii := iii + 1; > od;# end do number 2 > #GET NORMS > ; > fi;# end if 3 > ; > # End Function number 7 > end; get_norms := proc() local iii; global DEBUGMASSIVE, glob_iolevel, ALWAYS, INFO, DEBUGL, glob_max_terms, glob_current_iter, glob_orig_start_sec, glob_smallish_float, glob_hmax, glob_log10relerr, glob_iter, glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_max_hours, glob_look_poles, glob_hmin, glob_optimal_done, glob_optimal_clock_start_sec, glob_hmin_init, glob_clock_sec, djd_debug2, glob_display_flag, glob_max_opt_iter, glob_subiter_method, glob_percent_done, glob_max_iter, min_in_hour, glob_dump, glob_small_float, glob_max_trunc_err, glob_abserr, glob_not_yet_start_msg, djd_debug, glob_html_log, MAX_UNCHANGED, glob_curr_iter_when_opt, glob_warned2, glob_dump_analytic, centuries_in_millinium, glob_optimal_expect_sec, glob_no_eqs, glob_last_good_h, glob_large_float, glob_h, sec_in_min, glob_start, glob_relerr, glob_log10_relerr, glob_initial_pass, glob_not_yet_finished, years_in_century, glob_log10normmin, glob_max_minutes, glob_normmax, glob_warned, glob_disp_incr, glob_reached_optimal_h, glob_log10abserr, glob_max_sec, glob_almost_1, days_in_year, hours_in_day, glob_optimal_start, glob_log10_abserr, glob_clock_start_sec, array_const_1, array_const_0D0, array_const_1D0, array_m1, array_y1, array_y2, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_y2_init, array_1st_rel_error, array_y1_init, array_type_pole, array_fact_1, array_last_rel_error, array_pole, array_norms, array_x, array_y1_higher, array_poles, array_y2_set_initial, array_y2_higher_work, array_y1_higher_work, array_y1_higher_work2, array_complex_pole, array_y2_higher_work2, array_y2_higher, array_fact_2, array_real_pole, array_y1_set_initial, glob_last; if not glob_initial_pass then set_z(array_norms, glob_max_terms + 1); iii := 1; while iii <= glob_max_terms do if array_norms[iii] < abs(array_y1[iii]) then array_norms[iii] := abs(array_y1[iii]) end if; iii := iii + 1 end do; iii := 1; while iii <= glob_max_terms do if array_norms[iii] < abs(array_y2[iii]) then array_norms[iii] := abs(array_y2[iii]) end if; iii := iii + 1 end do end if end proc > # Begin Function number 8 > atomall := proc() > global > DEBUGMASSIVE, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > glob_max_terms, > #Top Generate Globals Decl > glob_current_iter, > glob_orig_start_sec, > glob_smallish_float, > glob_hmax, > glob_log10relerr, > glob_iter, > glob_unchanged_h_cnt, > glob_max_rel_trunc_err, > glob_max_hours, > glob_look_poles, > glob_hmin, > glob_optimal_done, > glob_optimal_clock_start_sec, > glob_hmin_init, > glob_clock_sec, > djd_debug2, > glob_display_flag, > glob_max_opt_iter, > glob_subiter_method, > glob_percent_done, > glob_max_iter, > min_in_hour, > glob_dump, > glob_small_float, > glob_max_trunc_err, > glob_abserr, > glob_not_yet_start_msg, > djd_debug, > glob_html_log, > MAX_UNCHANGED, > glob_curr_iter_when_opt, > glob_warned2, > glob_dump_analytic, > centuries_in_millinium, > glob_optimal_expect_sec, > glob_no_eqs, > glob_last_good_h, > glob_large_float, > glob_h, > sec_in_min, > glob_start, > glob_relerr, > glob_log10_relerr, > glob_initial_pass, > glob_not_yet_finished, > years_in_century, > glob_log10normmin, > glob_max_minutes, > glob_normmax, > glob_warned, > glob_disp_incr, > glob_reached_optimal_h, > glob_log10abserr, > glob_max_sec, > glob_almost_1, > days_in_year, > hours_in_day, > glob_optimal_start, > glob_log10_abserr, > glob_clock_start_sec, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #END CONST > array_m1, > array_y1, > array_y2, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_y2_init, > array_1st_rel_error, > array_y1_init, > array_type_pole, > array_fact_1, > array_last_rel_error, > array_pole, > array_norms, > array_x, > array_y1_higher, > array_poles, > array_y2_set_initial, > array_y2_higher_work, > array_y1_higher_work, > array_y1_higher_work2, > array_complex_pole, > array_y2_higher_work2, > array_y2_higher, > array_fact_2, > array_real_pole, > array_y1_set_initial, > glob_last; > > local kkk, order_d, adj2, temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > # emit pre mult $eq_no = 1 i = 1 > array_tmp1[1] := (array_m1[1] * (array_y2[1])); > #emit pre add $eq_no = 1 i = 1 > array_tmp2[1] := array_const_0D0[1] + array_tmp1[1]; > #emit pre add $eq_no = 1 i = 1 > array_tmp3[1] := array_tmp2[1] + array_const_1D0[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if not array_y1_set_initial[1,2] then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp3[1] * (glob_h ^ (1)) * factorial_3(0,1); > array_y1[2] := temporary; > array_y1_higher[1,2] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,1] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 2; > #emit pre sub $eq_no = 2 i = 1 > array_tmp5[1] := (array_y1[1] - (array_const_1D0[1])); > #emit pre assign xxx $eq_no = 2 i = 1 $min_hdrs = 5 > if not array_y2_set_initial[2,2] then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp5[1] * (glob_h ^ (1)) * factorial_3(0,1); > array_y2[2] := temporary; > array_y2_higher[1,2] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,1] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 2; > #END ATOMHDR1 > #BEGIN ATOMHDR2 > # emit pre mult $eq_no = 1 i = 2 > array_tmp1[2] := ats(2,array_m1,array_y2,1); > #emit pre add $eq_no = 1 i = 2 > array_tmp2[2] := array_const_0D0[2] + array_tmp1[2]; > #emit pre add $eq_no = 1 i = 2 > array_tmp3[2] := array_tmp2[2] + array_const_1D0[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if not array_y1_set_initial[1,3] then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp3[2] * (glob_h ^ (1)) * factorial_3(1,2); > array_y1[3] := temporary; > array_y1_higher[1,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,2] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 3; > #emit pre sub $eq_no = 2 i = 2 > array_tmp5[2] := (array_y1[2] - (array_const_1D0[2])); > #emit pre assign xxx $eq_no = 2 i = 2 $min_hdrs = 5 > if not array_y2_set_initial[2,3] then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp5[2] * (glob_h ^ (1)) * factorial_3(1,2); > array_y2[3] := temporary; > array_y2_higher[1,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,2] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 3; > #END ATOMHDR2 > #BEGIN ATOMHDR3 > # emit pre mult $eq_no = 1 i = 3 > array_tmp1[3] := ats(3,array_m1,array_y2,1); > #emit pre add $eq_no = 1 i = 3 > array_tmp2[3] := array_const_0D0[3] + array_tmp1[3]; > #emit pre add $eq_no = 1 i = 3 > array_tmp3[3] := array_tmp2[3] + array_const_1D0[3]; > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if not array_y1_set_initial[1,4] then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp3[3] * (glob_h ^ (1)) * factorial_3(2,3); > array_y1[4] := temporary; > array_y1_higher[1,4] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,3] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 4; > #emit pre sub $eq_no = 2 i = 3 > array_tmp5[3] := (array_y1[3] - (array_const_1D0[3])); > #emit pre assign xxx $eq_no = 2 i = 3 $min_hdrs = 5 > if not array_y2_set_initial[2,4] then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp5[3] * (glob_h ^ (1)) * factorial_3(2,3); > array_y2[4] := temporary; > array_y2_higher[1,4] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,3] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 4; > #END ATOMHDR3 > #BEGIN ATOMHDR4 > # emit pre mult $eq_no = 1 i = 4 > array_tmp1[4] := ats(4,array_m1,array_y2,1); > #emit pre add $eq_no = 1 i = 4 > array_tmp2[4] := array_const_0D0[4] + array_tmp1[4]; > #emit pre add $eq_no = 1 i = 4 > array_tmp3[4] := array_tmp2[4] + array_const_1D0[4]; > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if not array_y1_set_initial[1,5] then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp3[4] * (glob_h ^ (1)) * factorial_3(3,4); > array_y1[5] := temporary; > array_y1_higher[1,5] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,4] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 5; > #emit pre sub $eq_no = 2 i = 4 > array_tmp5[4] := (array_y1[4] - (array_const_1D0[4])); > #emit pre assign xxx $eq_no = 2 i = 4 $min_hdrs = 5 > if not array_y2_set_initial[2,5] then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp5[4] * (glob_h ^ (1)) * factorial_3(3,4); > array_y2[5] := temporary; > array_y2_higher[1,5] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,4] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 5; > #END ATOMHDR4 > #BEGIN ATOMHDR5 > # emit pre mult $eq_no = 1 i = 5 > array_tmp1[5] := ats(5,array_m1,array_y2,1); > #emit pre add $eq_no = 1 i = 5 > array_tmp2[5] := array_const_0D0[5] + array_tmp1[5]; > #emit pre add $eq_no = 1 i = 5 > array_tmp3[5] := array_tmp2[5] + array_const_1D0[5]; > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if not array_y1_set_initial[1,6] then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp3[5] * (glob_h ^ (1)) * factorial_3(4,5); > array_y1[6] := temporary; > array_y1_higher[1,6] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,5] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 6; > #emit pre sub $eq_no = 2 i = 5 > array_tmp5[5] := (array_y1[5] - (array_const_1D0[5])); > #emit pre assign xxx $eq_no = 2 i = 5 $min_hdrs = 5 > if not array_y2_set_initial[2,6] then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp5[5] * (glob_h ^ (1)) * factorial_3(4,5); > array_y2[6] := temporary; > array_y2_higher[1,6] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,5] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 6; > #END ATOMHDR5 > #BEGIN OUTFILE3 > #Top Atomall While Loop-- outfile3 > while (kkk <= glob_max_terms) do # do number 1 > #END OUTFILE3 > #BEGIN OUTFILE4 > #emit mult $eq_no = 1 > array_tmp1[kkk] := ats(kkk,array_m1,array_y2,1); > #emit add $eq_no = 1 > array_tmp2[kkk] := array_const_0D0[kkk] + array_tmp1[kkk]; > #emit add $eq_no = 1 > array_tmp3[kkk] := array_tmp2[kkk] + array_const_1D0[kkk]; > #emit assign $eq_no = 1 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if not array_y1_set_initial[1,kkk + order_d] then # if number 2 > temporary := array_tmp3[kkk] * (glob_h ^ (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y1[kkk + order_d] := temporary; > array_y1_higher[1,kkk + order_d] := temporary; > term := kkk + order_d - 1; > adj2 := 2; > while (adj2 <= order_d + 1) and (term >= 1) do # do number 2 > temporary := temporary / glob_h * convfp(adj2); > array_y1_higher[adj2,term] := temporary; > adj2 := adj2 + 1; > term := term - 1; > od;# end do number 2 > fi;# end if 2 > fi;# end if 1 > ; > #emit sub $eq_no = 2 > array_tmp5[kkk] := (array_y1[kkk] - (array_const_1D0[kkk])); > #emit assign $eq_no = 2 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if not array_y2_set_initial[2,kkk + order_d] then # if number 2 > temporary := array_tmp5[kkk] * (glob_h ^ (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y2[kkk + order_d] := temporary; > array_y2_higher[1,kkk + order_d] := temporary; > term := kkk + order_d - 1; > adj2 := 2; > while (adj2 <= order_d + 1) and (term >= 1) do # do number 2 > temporary := temporary / glob_h * convfp(adj2); > array_y2_higher[adj2,term] := temporary; > adj2 := adj2 + 1; > term := term - 1; > od;# end do number 2 > fi;# end if 2 > fi;# end if 1 > ; > kkk := kkk + 1; > od;# end do number 1 > ; > #BOTTOM ATOMALL > #END OUTFILE4 > #BEGIN OUTFILE5 > # End Function number 8 > end; atomall := proc() local kkk, order_d, adj2, temporary, term; global DEBUGMASSIVE, glob_iolevel, ALWAYS, INFO, DEBUGL, glob_max_terms, glob_current_iter, glob_orig_start_sec, glob_smallish_float, glob_hmax, glob_log10relerr, glob_iter, glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_max_hours, glob_look_poles, glob_hmin, glob_optimal_done, glob_optimal_clock_start_sec, glob_hmin_init, glob_clock_sec, djd_debug2, glob_display_flag, glob_max_opt_iter, glob_subiter_method, glob_percent_done, glob_max_iter, min_in_hour, glob_dump, glob_small_float, glob_max_trunc_err, glob_abserr, glob_not_yet_start_msg, djd_debug, glob_html_log, MAX_UNCHANGED, glob_curr_iter_when_opt, glob_warned2, glob_dump_analytic, centuries_in_millinium, glob_optimal_expect_sec, glob_no_eqs, glob_last_good_h, glob_large_float, glob_h, sec_in_min, glob_start, glob_relerr, glob_log10_relerr, glob_initial_pass, glob_not_yet_finished, years_in_century, glob_log10normmin, glob_max_minutes, glob_normmax, glob_warned, glob_disp_incr, glob_reached_optimal_h, glob_log10abserr, glob_max_sec, glob_almost_1, days_in_year, hours_in_day, glob_optimal_start, glob_log10_abserr, glob_clock_start_sec, array_const_1, array_const_0D0, array_const_1D0, array_m1, array_y1, array_y2, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_y2_init, array_1st_rel_error, array_y1_init, array_type_pole, array_fact_1, array_last_rel_error, array_pole, array_norms, array_x, array_y1_higher, array_poles, array_y2_set_initial, array_y2_higher_work, array_y1_higher_work, array_y1_higher_work2, array_complex_pole, array_y2_higher_work2, array_y2_higher, array_fact_2, array_real_pole, array_y1_set_initial, glob_last; array_tmp1[1] := array_m1[1]*array_y2[1]; array_tmp2[1] := array_const_0D0[1] + array_tmp1[1]; array_tmp3[1] := array_tmp2[1] + array_const_1D0[1]; if not array_y1_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp3[1]*glob_h*factorial_3(0, 1); array_y1[2] := temporary; array_y1_higher[1, 2] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp5[1] := array_y1[1] - array_const_1D0[1]; if not array_y2_set_initial[2, 2] then if 1 <= glob_max_terms then temporary := array_tmp5[1]*glob_h*factorial_3(0, 1); array_y2[2] := temporary; array_y2_higher[1, 2] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp1[2] := ats(2, array_m1, array_y2, 1); array_tmp2[2] := array_const_0D0[2] + array_tmp1[2]; array_tmp3[2] := array_tmp2[2] + array_const_1D0[2]; if not array_y1_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp3[2]*glob_h*factorial_3(1, 2); array_y1[3] := temporary; array_y1_higher[1, 3] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp5[2] := array_y1[2] - array_const_1D0[2]; if not array_y2_set_initial[2, 3] then if 2 <= glob_max_terms then temporary := array_tmp5[2]*glob_h*factorial_3(1, 2); array_y2[3] := temporary; array_y2_higher[1, 3] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp1[3] := ats(3, array_m1, array_y2, 1); array_tmp2[3] := array_const_0D0[3] + array_tmp1[3]; array_tmp3[3] := array_tmp2[3] + array_const_1D0[3]; if not array_y1_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp3[3]*glob_h*factorial_3(2, 3); array_y1[4] := temporary; array_y1_higher[1, 4] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp5[3] := array_y1[3] - array_const_1D0[3]; if not array_y2_set_initial[2, 4] then if 3 <= glob_max_terms then temporary := array_tmp5[3]*glob_h*factorial_3(2, 3); array_y2[4] := temporary; array_y2_higher[1, 4] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp1[4] := ats(4, array_m1, array_y2, 1); array_tmp2[4] := array_const_0D0[4] + array_tmp1[4]; array_tmp3[4] := array_tmp2[4] + array_const_1D0[4]; if not array_y1_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp3[4]*glob_h*factorial_3(3, 4); array_y1[5] := temporary; array_y1_higher[1, 5] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp5[4] := array_y1[4] - array_const_1D0[4]; if not array_y2_set_initial[2, 5] then if 4 <= glob_max_terms then temporary := array_tmp5[4]*glob_h*factorial_3(3, 4); array_y2[5] := temporary; array_y2_higher[1, 5] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp1[5] := ats(5, array_m1, array_y2, 1); array_tmp2[5] := array_const_0D0[5] + array_tmp1[5]; array_tmp3[5] := array_tmp2[5] + array_const_1D0[5]; if not array_y1_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp3[5]*glob_h*factorial_3(4, 5); array_y1[6] := temporary; array_y1_higher[1, 6] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 5] := temporary end if end if; kkk := 6; array_tmp5[5] := array_y1[5] - array_const_1D0[5]; if not array_y2_set_initial[2, 6] then if 5 <= glob_max_terms then temporary := array_tmp5[5]*glob_h*factorial_3(4, 5); array_y2[6] := temporary; array_y2_higher[1, 6] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 5] := temporary end if end if; kkk := 6; while kkk <= glob_max_terms do array_tmp1[kkk] := ats(kkk, array_m1, array_y2, 1); array_tmp2[kkk] := array_const_0D0[kkk] + array_tmp1[kkk]; array_tmp3[kkk] := array_tmp2[kkk] + array_const_1D0[kkk]; order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y1_set_initial[1, kkk + order_d] then temporary := array_tmp3[kkk]*glob_h^order_d/ factorial_3(kkk - 1, kkk + order_d - 1); array_y1[kkk + order_d] := temporary; array_y1_higher[1, kkk + order_d] := temporary; term := kkk + order_d - 1; adj2 := 2; while adj2 <= order_d + 1 and 1 <= term do temporary := temporary*convfp(adj2)/glob_h; array_y1_higher[adj2, term] := temporary; adj2 := adj2 + 1; term := term - 1 end do end if end if; array_tmp5[kkk] := array_y1[kkk] - array_const_1D0[kkk]; order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y2_set_initial[2, kkk + order_d] then temporary := array_tmp5[kkk]*glob_h^order_d/ factorial_3(kkk - 1, kkk + order_d - 1); array_y2[kkk + order_d] := temporary; array_y2_higher[1, kkk + order_d] := temporary; term := kkk + order_d - 1; adj2 := 2; while adj2 <= order_d + 1 and 1 <= term do temporary := temporary*convfp(adj2)/glob_h; array_y2_higher[adj2, term] := temporary; adj2 := adj2 + 1; term := term - 1 end do end if end if; kkk := kkk + 1 end do end proc > #BEGIN ATS LIBRARY BLOCK > omniout_str := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > printf("%s\n",str); > fi; > # End Function number 1 > end; omniout_str := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s\n", str) end if end proc > omniout_str_noeol := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > printf("%s",str); > fi; > # End Function number 1 > end; omniout_str_noeol := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s", str) end if end proc > omniout_labstr := proc(iolevel,label,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > print(label,str); > fi; > # End Function number 1 > end; omniout_labstr := proc(iolevel, label, str) global glob_iolevel; if iolevel <= glob_iolevel then print(label, str) end if end proc > omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > if vallen = 4 then > printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel); > else > printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel); > fi; > fi; > # End Function number 1 > end; omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 4 then printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel) else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel) end if end if end proc > omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > if vallen = 5 then > printf("%-30s = %-32d %s\n",prelabel,value, postlabel); > else > printf("%-30s = %-32d %s \n",prelabel,value, postlabel); > fi; > fi; > # End Function number 1 > end; omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 5 then printf("%-30s = %-32d %s\n", prelabel, value, postlabel) else printf("%-30s = %-32d %s \n", prelabel, value, postlabel) end if end if end proc > omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > print(prelabel,"[",elemnt,"]",value, postlabel); > fi; > # End Function number 1 > end; omniout_float_arr := proc( iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then print(prelabel, "[", elemnt, "]", value, postlabel) end if end proc > dump_series := proc(iolevel,dump_label,series_name, > array_series,numb) > global glob_iolevel; > local i; > if (glob_iolevel >= iolevel) then > i := 1; > while (i <= numb) do > print(dump_label,series_name > ,i,array_series[i]); > i := i + 1; > od; > fi; > # End Function number 1 > end; dump_series := proc(iolevel, dump_label, series_name, array_series, numb) local i; global glob_iolevel; if iolevel <= glob_iolevel then i := 1; while i <= numb do print(dump_label, series_name, i, array_series[i]); i := i + 1 end do end if end proc > dump_series_2 := proc(iolevel,dump_label,series_name2, > array_series2,numb,subnum,array_x) > global glob_iolevel; > local i,sub,ts_term; > if (glob_iolevel >= iolevel) then > sub := 1; > while (sub <= subnum) do > i := 1; > while (i <= numb) do > print(dump_label,series_name2,sub,i,array_series2[sub,i]); > od; > sub := sub + 1; > od; > fi; > # End Function number 1 > end; dump_series_2 := proc( iolevel, dump_label, series_name2, array_series2, numb, subnum, array_x) local i, sub, ts_term; global glob_iolevel; if iolevel <= glob_iolevel then sub := 1; while sub <= subnum do i := 1; while i <= numb do print(dump_label, series_name2, sub, i, array_series2[sub, i]) end do; sub := sub + 1 end do end if end proc > cs_info := proc(iolevel,str) > global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h; > if (glob_iolevel >= iolevel) then > print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h) > fi; > # End Function number 1 > end; cs_info := proc(iolevel, str) global glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h; if iolevel <= glob_iolevel then print("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h) end if end proc > # Begin Function number 2 > logitem_time := proc(fd,secs_in) > global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; > local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; > secs := (secs_in); > if (secs > 0.0) then # if number 1 > sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium); > milliniums := convfloat(secs / sec_in_millinium); > millinium_int := floor(milliniums); > centuries := (milliniums - millinium_int)*centuries_in_millinium; > cent_int := floor(centuries); > years := (centuries - cent_int) * years_in_century; > years_int := floor(years); > days := (years - years_int) * days_in_year; > days_int := floor(days); > hours := (days - days_int) * hours_in_day; > hours_int := floor(hours); > minutes := (hours - hours_int) * min_in_hour; > minutes_int := floor(minutes); > seconds := (minutes - minutes_int) * sec_in_min; > sec_int := floor(seconds); > fprintf(fd,""); > if (millinium_int > 0) then # if number 2 > fprintf(fd,"%d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (cent_int > 0) then # if number 3 > fprintf(fd,"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (years_int > 0) then # if number 4 > fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int); > elif (days_int > 0) then # if number 5 > fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int); > elif (hours_int > 0) then # if number 6 > fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int); > elif (minutes_int > 0) then # if number 7 > fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int); > else > fprintf(fd,"%d Seconds",sec_int); > fi;# end if 7 > else > fprintf(fd,"Unknown"); > fi;# end if 6 > fprintf(fd,""); > # End Function number 2 > end; logitem_time := proc(fd, secs_in) local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; secs := secs_in; if 0. < secs then sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day* days_in_year*years_in_century*centuries_in_millinium); milliniums := convfloat(secs/sec_in_millinium); millinium_int := floor(milliniums); centuries := (milliniums - millinium_int)*centuries_in_millinium; cent_int := floor(centuries); years := (centuries - cent_int)*years_in_century; years_int := floor(years); days := (years - years_int)*days_in_year; days_int := floor(days); hours := (days - days_int)*hours_in_day; hours_int := floor(hours); minutes := (hours - hours_int)*min_in_hour; minutes_int := floor(minutes); seconds := (minutes - minutes_int)*sec_in_min; sec_int := floor(seconds); fprintf(fd, ""); if 0 < millinium_int then fprintf(fd, "%d Millinia %d Centuries %\ d Years %d Days %d Hours %d Minutes %d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < cent_int then fprintf(fd, "%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < years_int then fprintf(fd, "%d Years %d Days %d Hours %d Minutes %d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then fprintf(fd, "%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then fprintf(fd, "%d Hours %d Minutes %d Seconds", hours_int, minutes_int, sec_int) elif 0 < minutes_int then fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int) else fprintf(fd, "%d Seconds", sec_int) end if else fprintf(fd, "Unknown") end if; fprintf(fd, "") end proc > omniout_timestr := proc (secs_in) > global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; > local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; > secs := convfloat(secs_in); > if (secs > 0.0) then # if number 6 > sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium); > milliniums := convfloat(secs / sec_in_millinium); > millinium_int := floor(milliniums); > centuries := (milliniums - millinium_int)*centuries_in_millinium; > cent_int := floor(centuries); > years := (centuries - cent_int) * years_in_century; > years_int := floor(years); > days := (years - years_int) * days_in_year; > days_int := floor(days); > hours := (days - days_int) * hours_in_day; > hours_int := floor(hours); > minutes := (hours - hours_int) * min_in_hour; > minutes_int := floor(minutes); > seconds := (minutes - minutes_int) * sec_in_min; > sec_int := floor(seconds); > > if (millinium_int > 0) then # if number 7 > printf(" = %d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (cent_int > 0) then # if number 8 > printf(" = %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (years_int > 0) then # if number 9 > printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int); > elif (days_int > 0) then # if number 10 > printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int); > elif (hours_int > 0) then # if number 11 > printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int); > elif (minutes_int > 0) then # if number 12 > printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int); > else > printf(" = %d Seconds\n",sec_int); > fi;# end if 12 > else > printf(" Unknown\n"); > fi;# end if 11 > # End Function number 2 > end; omniout_timestr := proc(secs_in) local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; secs := convfloat(secs_in); if 0. < secs then sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day* days_in_year*years_in_century*centuries_in_millinium); milliniums := convfloat(secs/sec_in_millinium); millinium_int := floor(milliniums); centuries := (milliniums - millinium_int)*centuries_in_millinium; cent_int := floor(centuries); years := (centuries - cent_int)*years_in_century; years_int := floor(years); days := (years - years_int)*days_in_year; days_int := floor(days); hours := (days - days_int)*hours_in_day; hours_int := floor(hours); minutes := (hours - hours_int)*min_in_hour; minutes_int := floor(minutes); seconds := (minutes - minutes_int)*sec_in_min; sec_int := floor(seconds); if 0 < millinium_int then printf(" = %d Millinia %d Centuries %d\ Years %d Days %d Hours %d Minutes %d Seconds\n", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < cent_int then printf(" = %d Centuries %d Years %d Days \ %d Hours %d Minutes %d Seconds\n", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < years_int then printf( " = %d Years %d Days %d Hours %d Minutes %d Seconds\n", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then printf( " = %d Days %d Hours %d Minutes %d Seconds\n", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then printf( " = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int, sec_int) elif 0 < minutes_int then printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int) else printf(" = %d Seconds\n", sec_int) end if else printf(" Unknown\n") end if end proc > > # Begin Function number 3 > ats := proc( > mmm_ats,array_a,array_b,jjj_ats) > local iii_ats, lll_ats,ma_ats, ret_ats; > ret_ats := 0.0; > if (jjj_ats <= mmm_ats) then # if number 11 > ma_ats := mmm_ats + 1; > iii_ats := jjj_ats; > while (iii_ats <= mmm_ats) do # do number 1 > lll_ats := ma_ats - iii_ats; > ret_ats := ret_ats + array_a[iii_ats]*array_b[lll_ats]; > iii_ats := iii_ats + 1; > od;# end do number 1 > fi;# end if 11 > ; > ret_ats > # End Function number 3 > end; ats := proc(mmm_ats, array_a, array_b, jjj_ats) local iii_ats, lll_ats, ma_ats, ret_ats; ret_ats := 0.; if jjj_ats <= mmm_ats then ma_ats := mmm_ats + 1; iii_ats := jjj_ats; while iii_ats <= mmm_ats do lll_ats := ma_ats - iii_ats; ret_ats := ret_ats + array_a[iii_ats]*array_b[lll_ats]; iii_ats := iii_ats + 1 end do end if; ret_ats end proc > > # Begin Function number 4 > att := proc( > mmm_att,array_aa,array_bb,jjj_att) > global glob_max_terms; > local al_att, iii_att,lll_att, ma_att, ret_att; > ret_att := 0.0; > if (jjj_att <= mmm_att) then # if number 11 > ma_att := mmm_att + 2; > iii_att := jjj_att; > while (iii_att <= mmm_att) do # do number 1 > lll_att := ma_att - iii_att; > al_att := (lll_att - 1); > if (lll_att <= glob_max_terms) then # if number 12 > ret_att := ret_att + array_aa[iii_att]*array_bb[lll_att]* convfp(al_att); > fi;# end if 12 > ; > iii_att := iii_att + 1; > od;# end do number 1 > ; > ret_att := ret_att / convfp(mmm_att) ; > fi;# end if 11 > ; > ret_att; > # End Function number 4 > end; att := proc(mmm_att, array_aa, array_bb, jjj_att) local al_att, iii_att, lll_att, ma_att, ret_att; global glob_max_terms; ret_att := 0.; if jjj_att <= mmm_att then ma_att := mmm_att + 2; iii_att := jjj_att; while iii_att <= mmm_att do lll_att := ma_att - iii_att; al_att := lll_att - 1; if lll_att <= glob_max_terms then ret_att := ret_att + array_aa[iii_att]*array_bb[lll_att]*convfp(al_att) end if; iii_att := iii_att + 1 end do; ret_att := ret_att/convfp(mmm_att) end if; ret_att end proc > # Begin Function number 5 > display_pole := proc() > global ALWAYS,glob_display_flag, glob_large_float, array_pole; > if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 11 > omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," "); > omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," "); > fi;# end if 11 > # End Function number 5 > end; display_pole := proc() global ALWAYS, glob_display_flag, glob_large_float, array_pole; if array_pole[1] <> glob_large_float and 0. < array_pole[1] and array_pole[2] <> glob_large_float and 0. < array_pole[2] and glob_display_flag then omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole[1], 4, " "); omniout_float(ALWAYS, "Order of pole ", 4, array_pole[2], 4, " ") end if end proc > # Begin Function number 6 > logditto := proc(file) > fprintf(file,""); > fprintf(file,"ditto"); > fprintf(file,""); > # End Function number 6 > end; logditto := proc(file) fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, "") end proc > # Begin Function number 7 > logitem_integer := proc(file,n) > fprintf(file,""); > fprintf(file,"%d",n); > fprintf(file,""); > # End Function number 7 > end; logitem_integer := proc(file, n) fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, "") end proc > # Begin Function number 8 > logitem_str := proc(file,str) > fprintf(file,""); > fprintf(file,str); > fprintf(file,""); > # End Function number 8 > end; logitem_str := proc(file, str) fprintf(file, ""); fprintf(file, str); fprintf(file, "") end proc > # Begin Function number 9 > log_revs := proc(file,revs) > fprintf(file,revs); > # End Function number 9 > end; log_revs := proc(file, revs) fprintf(file, revs) end proc > # Begin Function number 10 > logitem_float := proc(file,x) > fprintf(file,""); > fprintf(file,"%g",x); > fprintf(file,""); > # End Function number 10 > end; logitem_float := proc(file, x) fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, "") end proc > # Begin Function number 11 > logitem_pole := proc(file,pole) > fprintf(file,""); > if pole = 0 then # if number 11 > fprintf(file,"NA"); > elif pole = 1 then # if number 12 > fprintf(file,"Real"); > elif pole = 2 then # if number 13 > fprintf(file,"Complex"); > else > fprintf(file,"No Pole"); > fi;# end if 13 > fprintf(file,""); > # End Function number 11 > end; logitem_pole := proc(file, pole) fprintf(file, ""); if pole = 0 then fprintf(file, "NA") elif pole = 1 then fprintf(file, "Real") elif pole = 2 then fprintf(file, "Complex") else fprintf(file, "No Pole") end if; fprintf(file, "") end proc > # Begin Function number 12 > logstart := proc(file) > fprintf(file,""); > # End Function number 12 > end; logstart := proc(file) fprintf(file, "") end proc > # Begin Function number 13 > logend := proc(file) > fprintf(file,"\n"); > # End Function number 13 > end; logend := proc(file) fprintf(file, "\n") end proc > # Begin Function number 14 > chk_data := proc() > global glob_max_iter,ALWAYS, glob_max_terms; > local errflag; > errflag := false; > > if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 13 > omniout_str(ALWAYS,"Illegal max_terms = -- Using 30"); > glob_max_terms := 30; > fi;# end if 13 > ; > if (glob_max_iter < 2) then # if number 13 > omniout_str(ALWAYS,"Illegal max_iter"); > errflag := true; > fi;# end if 13 > ; > if (errflag) then # if number 13 > > quit; > fi;# end if 13 > # End Function number 14 > end; chk_data := proc() local errflag; global glob_max_iter, ALWAYS, glob_max_terms; errflag := false; if glob_max_terms < 15 or 512 < glob_max_terms then omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"); glob_max_terms := 30 end if; if glob_max_iter < 2 then omniout_str(ALWAYS, "Illegal max_iter"); errflag := true end if; if errflag then quit end if end proc > > # Begin Function number 15 > comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec) > global glob_small_float; > local ms2, rrr, sec_left, sub1, sub2; > ; > ms2 := clock_sec; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub1 = 0.0) then # if number 13 > sec_left := 0.0; > else > if (abs(sub2) > 0.0) then # if number 14 > rrr := (sub1/sub2); > sec_left := rrr * ms2 - ms2; > else > sec_left := 0.0; > fi;# end if 14 > fi;# end if 13 > ; > sec_left; > # End Function number 15 > end; comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec) local ms2, rrr, sec_left, sub1, sub2; global glob_small_float; ms2 := clock_sec; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if sub1 = 0. then sec_left := 0. else if 0. < abs(sub2) then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2 else sec_left := 0. end if end if; sec_left end proc > > # Begin Function number 16 > comp_percent := proc(t_end2,t_start2,t2) > global glob_small_float; > local rrr, sub1, sub2; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (abs(sub2) > glob_small_float) then # if number 13 > rrr := (100.0*sub2)/sub1; > else > rrr := 0.0; > fi;# end if 13 > ; > rrr > # End Function number 16 > end; comp_percent := proc(t_end2, t_start2, t2) local rrr, sub1, sub2; global glob_small_float; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if glob_small_float < abs(sub2) then rrr := 100.0*sub2/sub1 else rrr := 0. end if; rrr end proc > # Begin Function number 17 > factorial_1 := proc(nnn) > if (nnn <= glob_max_terms) then # if number 13 > ret := array_fact_1[nnn]; > else > ret := nnn!; > fi;# end if 13 > ; > ret; > # End Function number 17 > end; Warning, `ret` is implicitly declared local to procedure `factorial_1` factorial_1 := proc(nnn) local ret; if nnn <= glob_max_terms then ret := array_fact_1[nnn] else ret := nnn! end if; ret end proc > # Begin Function number 18 > factorial_3 := proc(mmm,nnn) > if (nnn <= glob_max_terms) and (mmm <= glob_max_terms) then # if number 13 > ret := array_fact_2[mmm,nnn]; > else > ret := (mmm!)/(nnn!); > fi;# end if 13 > ; > ret; > # End Function number 18 > end; Warning, `ret` is implicitly declared local to procedure `factorial_3` factorial_3 := proc(mmm, nnn) local ret; if nnn <= glob_max_terms and mmm <= glob_max_terms then ret := array_fact_2[mmm, nnn] else ret := mmm!/nnn! end if; ret end proc > # Begin Function number 19 > convfp := proc(mmm) > (mmm); > > # End Function number 19 > end; convfp := proc(mmm) mmm end proc > # Begin Function number 20 > convfloat := proc(mmm) > (mmm); > > # End Function number 20 > end; convfloat := proc(mmm) mmm end proc > elapsed_time_seconds := proc() > time(); > end; elapsed_time_seconds := proc() time() end proc > > > > #END ATS LIBRARY BLOCK > #BEGIN USER DEF BLOCK > #BEGIN USER DEF BLOCK > exact_soln_y1 := proc(x) > 1.0 + cos(x); > end; exact_soln_y1 := proc(x) 1.0 + cos(x) end proc > exact_soln_y2 := proc(x) > 1.0 + sin(x); > end; exact_soln_y2 := proc(x) 1.0 + sin(x) end proc > > > #END USER DEF BLOCK > #END USER DEF BLOCK > #END OUTFILE5 > # Begin Function number 2 > mainprog := proc() > #BEGIN OUTFIEMAIN > local d1,d2,d3,d4,est_err_2,niii,done_once, > term,ord,order_diff,term_no,html_log_file, > rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter, > x_start,x_end > ,it, log10norm, max_terms, opt_iter, tmp; > #Top Generate Globals Definition > #Bottom Generate Globals Deninition > global > DEBUGMASSIVE, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > glob_max_terms, > #Top Generate Globals Decl > glob_current_iter, > glob_orig_start_sec, > glob_smallish_float, > glob_hmax, > glob_log10relerr, > glob_iter, > glob_unchanged_h_cnt, > glob_max_rel_trunc_err, > glob_max_hours, > glob_look_poles, > glob_hmin, > glob_optimal_done, > glob_optimal_clock_start_sec, > glob_hmin_init, > glob_clock_sec, > djd_debug2, > glob_display_flag, > glob_max_opt_iter, > glob_subiter_method, > glob_percent_done, > glob_max_iter, > min_in_hour, > glob_dump, > glob_small_float, > glob_max_trunc_err, > glob_abserr, > glob_not_yet_start_msg, > djd_debug, > glob_html_log, > MAX_UNCHANGED, > glob_curr_iter_when_opt, > glob_warned2, > glob_dump_analytic, > centuries_in_millinium, > glob_optimal_expect_sec, > glob_no_eqs, > glob_last_good_h, > glob_large_float, > glob_h, > sec_in_min, > glob_start, > glob_relerr, > glob_log10_relerr, > glob_initial_pass, > glob_not_yet_finished, > years_in_century, > glob_log10normmin, > glob_max_minutes, > glob_normmax, > glob_warned, > glob_disp_incr, > glob_reached_optimal_h, > glob_log10abserr, > glob_max_sec, > glob_almost_1, > days_in_year, > hours_in_day, > glob_optimal_start, > glob_log10_abserr, > glob_clock_start_sec, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #END CONST > array_m1, > array_y1, > array_y2, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_y2_init, > array_1st_rel_error, > array_y1_init, > array_type_pole, > array_fact_1, > array_last_rel_error, > array_pole, > array_norms, > array_x, > array_y1_higher, > array_poles, > array_y2_set_initial, > array_y2_higher_work, > array_y1_higher_work, > array_y1_higher_work2, > array_complex_pole, > array_y2_higher_work2, > array_y2_higher, > array_fact_2, > array_real_pole, > array_y1_set_initial, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > DEBUGMASSIVE := 4; > glob_iolevel := 5; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > glob_max_terms := 30; > glob_current_iter := 0; > glob_orig_start_sec := 0.0; > glob_smallish_float := 0.1e-100; > glob_hmax := 1.0; > glob_log10relerr := 0.0; > glob_iter := 0; > glob_unchanged_h_cnt := 0; > glob_max_rel_trunc_err := 0.1e-10; > glob_max_hours := 0.0; > glob_look_poles := false; > glob_hmin := 0.00000000001; > glob_optimal_done := false; > glob_optimal_clock_start_sec := 0.0; > glob_hmin_init := 0.001; > glob_clock_sec := 0.0; > djd_debug2 := true; > glob_display_flag := true; > glob_max_opt_iter := 10; > glob_subiter_method := 3; > glob_percent_done := 0.0; > glob_max_iter := 1000; > min_in_hour := 60.0; > glob_dump := false; > glob_small_float := 0.1e-50; > glob_max_trunc_err := 0.1e-10; > glob_abserr := 0.1e-10; > glob_not_yet_start_msg := true; > djd_debug := true; > glob_html_log := true; > MAX_UNCHANGED := 10; > glob_curr_iter_when_opt := 0; > glob_warned2 := false; > glob_dump_analytic := false; > centuries_in_millinium := 10.0; > glob_optimal_expect_sec := 0.1; > glob_no_eqs := 0; > glob_last_good_h := 0.1; > glob_large_float := 9.0e100; > glob_h := 0.1; > sec_in_min := 60.0; > glob_start := 0; > glob_relerr := 0.1e-10; > glob_log10_relerr := 0.1e-10; > glob_initial_pass := true; > glob_not_yet_finished := true; > years_in_century := 100.0; > glob_log10normmin := 0.1; > glob_max_minutes := 0.0; > glob_normmax := 0.0; > glob_warned := false; > glob_disp_incr := 0.1; > glob_reached_optimal_h := false; > glob_log10abserr := 0.0; > glob_max_sec := 10000.0; > glob_almost_1 := 0.9990; > days_in_year := 365.0; > hours_in_day := 24.0; > glob_optimal_start := 0.0; > glob_log10_abserr := 0.1e-10; > glob_clock_start_sec := 0.0; > #Write Set Defaults > glob_orig_start_sec := elapsed_time_seconds(); > MAX_UNCHANGED := 10; > glob_curr_iter_when_opt := 0; > glob_display_flag := true; > glob_no_eqs := 2; > glob_iter := -1; > opt_iter := -1; > glob_max_iter := 50000; > glob_max_hours := 0.0; > glob_max_minutes := 15.0; > omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################"); > omniout_str(ALWAYS,"##############temp/mtest2postode.ode#################"); > omniout_str(ALWAYS,"diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); > omniout_str(ALWAYS,"diff ( y2 , x , 1 ) = y1 - 1.0;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"Digits := 32;"); > omniout_str(ALWAYS,"max_terms:=30;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#END FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"x_start := 0.1;"); > omniout_str(ALWAYS,"x_end := 10.0;"); > omniout_str(ALWAYS,"array_y1_init[0 + 1] := exact_soln_y1(x_start);"); > omniout_str(ALWAYS,"array_y2_init[0 + 1] := exact_soln_y2(x_start);"); > omniout_str(ALWAYS,"# testing comment"); > omniout_str(ALWAYS,"glob_h := 0.00001 ;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 10;"); > omniout_str(ALWAYS,"#END SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK"); > omniout_str(ALWAYS,"glob_h := 0.001 ;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 1000;"); > omniout_str(ALWAYS,"glob_max_minutes := 15;"); > omniout_str(ALWAYS,"#END OVERRIDE BLOCK"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK"); > omniout_str(ALWAYS,"exact_soln_y1 := proc(x)"); > omniout_str(ALWAYS,"1.0 + cos(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2 := proc(x)"); > omniout_str(ALWAYS,"1.0 + sin(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,"#END USER DEF BLOCK"); > omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################"); > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_small_float := 1.0e-200; > glob_smallish_float := 1.0e-64; > glob_large_float := 1.0e100; > glob_almost_1 := 0.99; > glob_log10_abserr := -8.0; > glob_log10_relerr := -8.0; > glob_hmax := 0.01; > #BEGIN FIRST INPUT BLOCK > #BEGIN FIRST INPUT BLOCK > Digits := 32; > max_terms:=30; > #END FIRST INPUT BLOCK > #START OF INITS AFTER INPUT BLOCK > glob_max_terms := max_terms; > glob_html_log := true; > #END OF INITS AFTER INPUT BLOCK > array_m1:= Array(0..(max_terms + 1),[]); > array_y1:= Array(0..(max_terms + 1),[]); > array_y2:= Array(0..(max_terms + 1),[]); > array_tmp0:= Array(0..(max_terms + 1),[]); > array_tmp1:= Array(0..(max_terms + 1),[]); > array_tmp2:= Array(0..(max_terms + 1),[]); > array_tmp3:= Array(0..(max_terms + 1),[]); > array_tmp4:= Array(0..(max_terms + 1),[]); > array_tmp5:= Array(0..(max_terms + 1),[]); > array_y2_init:= Array(0..(max_terms + 1),[]); > array_1st_rel_error:= Array(0..(max_terms + 1),[]); > array_y1_init:= Array(0..(max_terms + 1),[]); > array_type_pole:= Array(0..(max_terms + 1),[]); > array_fact_1:= Array(0..(max_terms + 1),[]); > array_last_rel_error:= Array(0..(max_terms + 1),[]); > array_pole:= Array(0..(max_terms + 1),[]); > array_norms:= Array(0..(max_terms + 1),[]); > array_x:= Array(0..(max_terms + 1),[]); > array_y1_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_poles := Array(0..(2+ 1) ,(0..3+ 1),[]); > array_y2_set_initial := Array(0..(3+ 1) ,(0..max_terms+ 1),[]); > array_y2_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y1_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y1_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_complex_pole := Array(0..(2+ 1) ,(0..3+ 1),[]); > array_y2_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y2_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]); > array_real_pole := Array(0..(2+ 1) ,(0..3+ 1),[]); > array_y1_set_initial := Array(0..(3+ 1) ,(0..max_terms+ 1),[]); > term := 1; > while term <= max_terms do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y2_init[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_1st_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y1_init[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_type_pole[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_fact_1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_last_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_pole[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_norms[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= 3 do # do number 3 > array_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=3 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= 3 do # do number 3 > array_complex_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=max_terms do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_fact_2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= 3 do # do number 3 > array_real_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=3 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > array_tmp5 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp4 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_y2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_y2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_y1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_y1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_x := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1[1] := 1; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_0D0[1] := 0.0; > array_const_1D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_1D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1D0[1] := 1.0; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #Initing Factorial Tables > iiif := 0; > while iiif <= glob_max_terms do # do number 2 > jjjf := 0; > while jjjf <= glob_max_terms do # do number 3 > temp1 := iiif !; > temp2 := jjjf !; > array_fact_1[iiif] := temp1; > array_fact_2[iiif,jjjf] := temp1/temp2; > jjjf := jjjf + 1; > od;# end do number 3 > ; > iiif := iiif + 1; > od;# end do number 2 > ; > #Done Initing Factorial Tables > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := 0.1; > x_end := 10.0; > array_y1_init[0 + 1] := exact_soln_y1(x_start); > array_y2_init[0 + 1] := exact_soln_y2(x_start); > # testing comment > glob_h := 0.00001 ; > glob_look_poles := true; > glob_max_iter := 10; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_h := 0.001 ; > glob_look_poles := true; > glob_max_iter := 1000; > glob_max_minutes := 15; > #END OVERRIDE BLOCK > #END SECOND INPUT BLOCK > #BEGIN INITS AFTER SECOND INPUT BLOCK > glob_last_good_h := glob_h; > glob_max_terms := max_terms; > glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours); > glob_abserr := 10.0 ^ (glob_log10_abserr); > glob_relerr := 10.0 ^ (glob_log10_relerr); > chk_data(); > #AFTER INITS AFTER SECOND INPUT BLOCK > array_y1_set_initial[1,1] := true; > array_y1_set_initial[1,2] := false; > array_y1_set_initial[1,3] := false; > array_y1_set_initial[1,4] := false; > array_y1_set_initial[1,5] := false; > array_y1_set_initial[1,6] := false; > array_y1_set_initial[1,7] := false; > array_y1_set_initial[1,8] := false; > array_y1_set_initial[1,9] := false; > array_y1_set_initial[1,10] := false; > array_y1_set_initial[1,11] := false; > array_y1_set_initial[1,12] := false; > array_y1_set_initial[1,13] := false; > array_y1_set_initial[1,14] := false; > array_y1_set_initial[1,15] := false; > array_y1_set_initial[1,16] := false; > array_y1_set_initial[1,17] := false; > array_y1_set_initial[1,18] := false; > array_y1_set_initial[1,19] := false; > array_y1_set_initial[1,20] := false; > array_y1_set_initial[1,21] := false; > array_y1_set_initial[1,22] := false; > array_y1_set_initial[1,23] := false; > array_y1_set_initial[1,24] := false; > array_y1_set_initial[1,25] := false; > array_y1_set_initial[1,26] := false; > array_y1_set_initial[1,27] := false; > array_y1_set_initial[1,28] := false; > array_y1_set_initial[1,29] := false; > array_y1_set_initial[1,30] := false; > array_y2_set_initial[2,1] := true; > array_y2_set_initial[2,2] := false; > array_y2_set_initial[2,3] := false; > array_y2_set_initial[2,4] := false; > array_y2_set_initial[2,5] := false; > array_y2_set_initial[2,6] := false; > array_y2_set_initial[2,7] := false; > array_y2_set_initial[2,8] := false; > array_y2_set_initial[2,9] := false; > array_y2_set_initial[2,10] := false; > array_y2_set_initial[2,11] := false; > array_y2_set_initial[2,12] := false; > array_y2_set_initial[2,13] := false; > array_y2_set_initial[2,14] := false; > array_y2_set_initial[2,15] := false; > array_y2_set_initial[2,16] := false; > array_y2_set_initial[2,17] := false; > array_y2_set_initial[2,18] := false; > array_y2_set_initial[2,19] := false; > array_y2_set_initial[2,20] := false; > array_y2_set_initial[2,21] := false; > array_y2_set_initial[2,22] := false; > array_y2_set_initial[2,23] := false; > array_y2_set_initial[2,24] := false; > array_y2_set_initial[2,25] := false; > array_y2_set_initial[2,26] := false; > array_y2_set_initial[2,27] := false; > array_y2_set_initial[2,28] := false; > array_y2_set_initial[2,29] := false; > array_y2_set_initial[2,30] := false; > if glob_html_log then # if number 3 > html_log_file := fopen("html/entry.html",WRITE,TEXT); > fi;# end if 3 > ; > #BEGIN SOLUTION CODE > omniout_str(ALWAYS,"START of Soultion"); > #Start Series -- INITIALIZE FOR SOLUTION > array_x[1] := x_start; > array_x[2] := glob_h; > order_diff := 1; > #Start Series array_y1 > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y1[term_no] := array_y1_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 2 > ; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 2 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 3 > it := term_no + r_order - 1; > array_y1_higher[r_order,term_no] := array_y1_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 3 > ; > r_order := r_order + 1; > od;# end do number 2 > ; > order_diff := 1; > #Start Series array_y2 > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y2[term_no] := array_y2_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 2 > ; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 2 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 3 > it := term_no + r_order - 1; > array_y2_higher[r_order,term_no] := array_y2_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 3 > ; > r_order := r_order + 1; > od;# end do number 2 > ; > current_iter := 1; > glob_clock_start_sec := elapsed_time_seconds(); > start_array_y1(); > if (abs(array_y1_higher[1,1]) > glob_small_float) then # if number 3 > tmp := abs(array_y1_higher[1,1]); > log10norm := (log10(tmp)); > if (log10norm < glob_log10normmin) then # if number 4 > glob_log10normmin := log10norm; > fi;# end if 4 > fi;# end if 3 > ; > display_alot(current_iter) > ; > start_array_y2(); > if (abs(array_y2_higher[1,1]) > glob_small_float) then # if number 3 > tmp := abs(array_y2_higher[1,1]); > log10norm := (log10(tmp)); > if (log10norm < glob_log10normmin) then # if number 4 > glob_log10normmin := log10norm; > fi;# end if 4 > fi;# end if 3 > ; > display_alot(current_iter) > ; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := 0; > glob_iter := 0; > omniout_str(DEBUGL," "); > glob_reached_optimal_h := true; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > while ((glob_current_iter < glob_max_iter) and (array_x[1] <= x_end ) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2 > #left paren 0001C > omniout_str(INFO," "); > omniout_str(INFO,"TOP MAIN SOLVE Loop"); > glob_iter := glob_iter + 1; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := glob_current_iter + 1; > if glob_subiter_method = 1 then # if number 3 > atomall(); > elif glob_subiter_method = 2 then # if number 4 > subiter := 1; > while subiter <= 2 do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3 > ; > else > subiter := 1; > while subiter <= 2 + glob_max_terms do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3 > ; > fi;# end if 4 > ; > if (glob_look_poles) then # if number 4 > #left paren 0004C > check_for_pole(); > fi;# end if 4 > ;#was right paren 0004C > array_x[1] := array_x[1] + glob_h; > array_x[2] := glob_h; > #Jump Series array_y1 > order_diff := 1; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =1 > #sum_and_adjust array_y1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[2,iii] := array_y1_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 1; > #sum_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[1,iii] := array_y1_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 2; > #sum_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[1,iii] := array_y1_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 1; > #sum_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #END SUM AND ADJUST EQ =1 > #END PART 1 > #START PART 2 MOVE TERMS to REGULAR Array > term_no := glob_max_terms; > while (term_no >= 1) do # do number 3 > array_y1[term_no] := array_y1_higher_work2[1,term_no]; > ord := 1; > while ord <= order_diff do # do number 4 > array_y1_higher[ord,term_no] := array_y1_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 4 > ; > term_no := term_no - 1; > od;# end do number 3 > ; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > #Jump Series array_y2 > order_diff := 1; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =2 > #sum_and_adjust array_y2 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =2 > #BEFORE SUM SUBSERIES EQ =2 > temp_sum := 0.0; > ord := 2; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =2 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =2 > #BEFORE SUM SUBSERIES EQ =2 > temp_sum := 0.0; > ord := 1; > calc_term := 2; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =2 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =2 > #BEFORE SUM SUBSERIES EQ =2 > temp_sum := 0.0; > ord := 1; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =2 > #END SUM AND ADJUST EQ =2 > #END PART 1 > #START PART 2 MOVE TERMS to REGULAR Array > term_no := glob_max_terms; > while (term_no >= 1) do # do number 3 > array_y2[term_no] := array_y2_higher_work2[1,term_no]; > ord := 1; > while ord <= order_diff do # do number 4 > array_y2_higher[ord,term_no] := array_y2_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 4 > ; > term_no := term_no - 1; > od;# end do number 3 > ; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > display_alot(current_iter) > ; > od;# end do number 2 > ;#right paren 0001C > omniout_str(ALWAYS,"Finished!"); > if (glob_iter >= glob_max_iter) then # if number 4 > omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!") > fi;# end if 4 > ; > if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 4 > omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!") > fi;# end if 4 > ; > glob_clock_sec := elapsed_time_seconds(); > omniout_str(INFO,"diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); > omniout_str(INFO,"diff ( y2 , x , 1 ) = y1 - 1.0;"); > omniout_int(INFO,"Iterations ",32,glob_iter,4," ") > ; > prog_report(x_start,x_end); > if glob_html_log then # if number 4 > logstart(html_log_file); > logitem_str(html_log_file,"2012-06-16T22:39:38-05:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"mtest2") > ; > logitem_str(html_log_file,"diff ( y1 , x , 1 ) = m1 * y2 + 1.0;") > ; > logitem_float(html_log_file,x_start) > ; > logitem_float(html_log_file,x_end) > ; > logitem_float(html_log_file,array_x[1]) > ; > logitem_float(html_log_file,glob_h) > ; > logitem_integer(html_log_file,Digits) > ; > ; > logitem_integer(html_log_file,glob_max_terms) > ; > logitem_float(html_log_file,array_1st_rel_error[1]) > ; > logitem_float(html_log_file,array_last_rel_error[1]) > ; > logitem_integer(html_log_file,glob_iter) > ; > logitem_pole(html_log_file,array_type_pole[1]) > ; > if array_type_pole[1] = 1 or array_type_pole[1] = 2 then # if number 5 > logitem_float(html_log_file,array_pole[1]) > ; > logitem_float(html_log_file,array_pole[2]) > ; > 0; > else > logitem_str(html_log_file,"NA") > ; > logitem_str(html_log_file,"NA") > ; > 0; > fi;# end if 5 > ; > logitem_time(html_log_file,convfloat(glob_clock_sec)) > ; > if glob_percent_done < 100.0 then # if number 5 > logitem_time(html_log_file,convfloat(glob_optimal_expect_sec)) > ; > 0 > else > logitem_str(html_log_file,"Done") > ; > 0 > fi;# end if 5 > ; > log_revs(html_log_file," 091 ") > ; > logitem_str(html_log_file,"mtest2 diffeq.mxt") > ; > logitem_str(html_log_file,"mtest2 maple results") > ; > logitem_str(html_log_file,"Test of revised logic - mostly for speeding factorials") > ; > logend(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logitem_str(html_log_file,"diff ( y2 , x , 1 ) = y1 - 1.0;") > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > ; > logditto(html_log_file) > ; > logitem_float(html_log_file,array_1st_rel_error[2]) > ; > logitem_float(html_log_file,array_last_rel_error[2]) > ; > logditto(html_log_file) > ; > logitem_pole(html_log_file,array_type_pole[2]) > ; > if array_type_pole[2] = 1 or array_type_pole[2] = 2 then # if number 5 > logitem_float(html_log_file,array_pole[1]) > ; > logitem_float(html_log_file,array_pole[2]) > ; > 0; > else > logitem_str(html_log_file,"NA") > ; > logitem_str(html_log_file,"NA") > ; > 0; > fi;# end if 5 > ; > logditto(html_log_file) > ; > if glob_percent_done < 100.0 then # if number 5 > logditto(html_log_file) > ; > 0 > else > logditto(html_log_file) > ; > 0 > fi;# end if 5 > ; > logditto(html_log_file); > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logend(html_log_file) > ; > ; > fi;# end if 4 > ; > if glob_html_log then # if number 4 > fclose(html_log_file); > fi;# end if 4 > ; > ;; > #END OUTFILEMAIN > # End Function number 8 > end; Warning, `iiif` is implicitly declared local to procedure `mainprog` Warning, `jjjf` is implicitly declared local to procedure `mainprog` Warning, `temp1` is implicitly declared local to procedure `mainprog` Warning, `temp2` is implicitly declared local to procedure `mainprog` Warning, `subiter` is implicitly declared local to procedure `mainprog` mainprog := proc() local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff, term_no, html_log_file, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter, tmp, iiif, jjjf, temp1, temp2, subiter; global DEBUGMASSIVE, glob_iolevel, ALWAYS, INFO, DEBUGL, glob_max_terms, glob_current_iter, glob_orig_start_sec, glob_smallish_float, glob_hmax, glob_log10relerr, glob_iter, glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_max_hours, glob_look_poles, glob_hmin, glob_optimal_done, glob_optimal_clock_start_sec, glob_hmin_init, glob_clock_sec, djd_debug2, glob_display_flag, glob_max_opt_iter, glob_subiter_method, glob_percent_done, glob_max_iter, min_in_hour, glob_dump, glob_small_float, glob_max_trunc_err, glob_abserr, glob_not_yet_start_msg, djd_debug, glob_html_log, MAX_UNCHANGED, glob_curr_iter_when_opt, glob_warned2, glob_dump_analytic, centuries_in_millinium, glob_optimal_expect_sec, glob_no_eqs, glob_last_good_h, glob_large_float, glob_h, sec_in_min, glob_start, glob_relerr, glob_log10_relerr, glob_initial_pass, glob_not_yet_finished, years_in_century, glob_log10normmin, glob_max_minutes, glob_normmax, glob_warned, glob_disp_incr, glob_reached_optimal_h, glob_log10abserr, glob_max_sec, glob_almost_1, days_in_year, hours_in_day, glob_optimal_start, glob_log10_abserr, glob_clock_start_sec, array_const_1, array_const_0D0, array_const_1D0, array_m1, array_y1, array_y2, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_y2_init, array_1st_rel_error, array_y1_init, array_type_pole, array_fact_1, array_last_rel_error, array_pole, array_norms, array_x, array_y1_higher, array_poles, array_y2_set_initial, array_y2_higher_work, array_y1_higher_work, array_y1_higher_work2, array_complex_pole, array_y2_higher_work2, array_y2_higher, array_fact_2, array_real_pole, array_y1_set_initial, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; DEBUGMASSIVE := 4; glob_iolevel := 5; ALWAYS := 1; INFO := 2; DEBUGL := 3; glob_max_terms := 30; glob_current_iter := 0; glob_orig_start_sec := 0.; glob_smallish_float := 0.1*10^(-100); glob_hmax := 1.0; glob_log10relerr := 0.; glob_iter := 0; glob_unchanged_h_cnt := 0; glob_max_rel_trunc_err := 0.1*10^(-10); glob_max_hours := 0.; glob_look_poles := false; glob_hmin := 0.1*10^(-10); glob_optimal_done := false; glob_optimal_clock_start_sec := 0.; glob_hmin_init := 0.001; glob_clock_sec := 0.; djd_debug2 := true; glob_display_flag := true; glob_max_opt_iter := 10; glob_subiter_method := 3; glob_percent_done := 0.; glob_max_iter := 1000; min_in_hour := 60.0; glob_dump := false; glob_small_float := 0.1*10^(-50); glob_max_trunc_err := 0.1*10^(-10); glob_abserr := 0.1*10^(-10); glob_not_yet_start_msg := true; djd_debug := true; glob_html_log := true; MAX_UNCHANGED := 10; glob_curr_iter_when_opt := 0; glob_warned2 := false; glob_dump_analytic := false; centuries_in_millinium := 10.0; glob_optimal_expect_sec := 0.1; glob_no_eqs := 0; glob_last_good_h := 0.1; glob_large_float := 0.90*10^101; glob_h := 0.1; sec_in_min := 60.0; glob_start := 0; glob_relerr := 0.1*10^(-10); glob_log10_relerr := 0.1*10^(-10); glob_initial_pass := true; glob_not_yet_finished := true; years_in_century := 100.0; glob_log10normmin := 0.1; glob_max_minutes := 0.; glob_normmax := 0.; glob_warned := false; glob_disp_incr := 0.1; glob_reached_optimal_h := false; glob_log10abserr := 0.; glob_max_sec := 10000.0; glob_almost_1 := 0.9990; days_in_year := 365.0; hours_in_day := 24.0; glob_optimal_start := 0.; glob_log10_abserr := 0.1*10^(-10); glob_clock_start_sec := 0.; glob_orig_start_sec := elapsed_time_seconds(); MAX_UNCHANGED := 10; glob_curr_iter_when_opt := 0; glob_display_flag := true; glob_no_eqs := 2; glob_iter := -1; opt_iter := -1; glob_max_iter := 50000; glob_max_hours := 0.; glob_max_minutes := 15.0; omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"); omniout_str(ALWAYS, "##############temp/mtest2postode.ode#################"); omniout_str(ALWAYS, "diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); omniout_str(ALWAYS, "diff ( y2 , x , 1 ) = y1 - 1.0;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK"); omniout_str(ALWAYS, "Digits := 32;"); omniout_str(ALWAYS, "max_terms:=30;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#END FIRST INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK"); omniout_str(ALWAYS, "x_start := 0.1;"); omniout_str(ALWAYS, "x_end := 10.0;"); omniout_str(ALWAYS, "array_y1_init[0 + 1] := exact_soln_y1(x_start);"); omniout_str(ALWAYS, "array_y2_init[0 + 1] := exact_soln_y2(x_start);"); omniout_str(ALWAYS, "# testing comment"); omniout_str(ALWAYS, "glob_h := 0.00001 ;"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 10;"); omniout_str(ALWAYS, "#END SECOND INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK"); omniout_str(ALWAYS, "glob_h := 0.001 ;"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 1000;"); omniout_str(ALWAYS, "glob_max_minutes := 15;"); omniout_str(ALWAYS, "#END OVERRIDE BLOCK"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK"); omniout_str(ALWAYS, "exact_soln_y1 := proc(x)"); omniout_str(ALWAYS, "1.0 + cos(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2 := proc(x)"); omniout_str(ALWAYS, "1.0 + sin(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, "#END USER DEF BLOCK"); omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_small_float := 0.10*10^(-199); glob_smallish_float := 0.10*10^(-63); glob_large_float := 0.10*10^101; glob_almost_1 := 0.99; glob_log10_abserr := -8.0; glob_log10_relerr := -8.0; glob_hmax := 0.01; Digits := 32; max_terms := 30; glob_max_terms := max_terms; glob_html_log := true; array_m1 := Array(0 .. max_terms + 1, []); array_y1 := Array(0 .. max_terms + 1, []); array_y2 := Array(0 .. max_terms + 1, []); array_tmp0 := Array(0 .. max_terms + 1, []); array_tmp1 := Array(0 .. max_terms + 1, []); array_tmp2 := Array(0 .. max_terms + 1, []); array_tmp3 := Array(0 .. max_terms + 1, []); array_tmp4 := Array(0 .. max_terms + 1, []); array_tmp5 := Array(0 .. max_terms + 1, []); array_y2_init := Array(0 .. max_terms + 1, []); array_1st_rel_error := Array(0 .. max_terms + 1, []); array_y1_init := Array(0 .. max_terms + 1, []); array_type_pole := Array(0 .. max_terms + 1, []); array_fact_1 := Array(0 .. max_terms + 1, []); array_last_rel_error := Array(0 .. max_terms + 1, []); array_pole := Array(0 .. max_terms + 1, []); array_norms := Array(0 .. max_terms + 1, []); array_x := Array(0 .. max_terms + 1, []); array_y1_higher := Array(0 .. 3, 0 .. max_terms + 1, []); array_poles := Array(0 .. 3, 0 .. 4, []); array_y2_set_initial := Array(0 .. 4, 0 .. max_terms + 1, []); array_y2_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []); array_y1_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []); array_y1_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []); array_complex_pole := Array(0 .. 3, 0 .. 4, []); array_y2_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []); array_y2_higher := Array(0 .. 3, 0 .. max_terms + 1, []); array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []); array_real_pole := Array(0 .. 3, 0 .. 4, []); array_y1_set_initial := Array(0 .. 4, 0 .. max_terms + 1, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp0[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp4[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp5[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y2_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_1st_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y1_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_type_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_fact_1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_last_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_norms[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_x[term] := 0.; term := term + 1 end do ; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y1_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 3 do array_poles[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 3 do term := 1; while term <= max_terms do array_y2_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y2_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y1_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y1_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 3 do array_complex_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y2_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y2_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= max_terms do term := 1; while term <= max_terms do array_fact_2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 3 do array_real_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 3 do term := 1; while term <= max_terms do array_y1_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; array_tmp5 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1 end do; array_tmp4 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1 end do; array_tmp3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1 end do; array_tmp2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1 end do; array_tmp1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1 end do; array_tmp0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1 end do; array_y2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y2[term] := 0.; term := term + 1 end do; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1 end do; array_y1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y1[term] := 0.; term := term + 1 end do; array_x := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1 end do; array_const_1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1[term] := 0.; term := term + 1 end do; array_const_1[1] := 1; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_const_1D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1D0[term] := 0.; term := term + 1 end do; array_const_1D0[1] := 1.0; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; iiif := 0; while iiif <= glob_max_terms do jjjf := 0; while jjjf <= glob_max_terms do temp1 := iiif!; temp2 := jjjf!; array_fact_1[iiif] := temp1; array_fact_2[iiif, jjjf] := temp1/temp2; jjjf := jjjf + 1 end do; iiif := iiif + 1 end do; x_start := 0.1; x_end := 10.0; array_y1_init[1] := exact_soln_y1(x_start); array_y2_init[1] := exact_soln_y2(x_start); glob_h := 0.00001; glob_look_poles := true; glob_max_iter := 10; glob_h := 0.001; glob_look_poles := true; glob_max_iter := 1000; glob_max_minutes := 15; glob_last_good_h := glob_h; glob_max_terms := max_terms; glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes) + convfloat(3600.0)*convfloat(glob_max_hours); glob_abserr := 10.0^glob_log10_abserr; glob_relerr := 10.0^glob_log10_relerr; chk_data(); array_y1_set_initial[1, 1] := true; array_y1_set_initial[1, 2] := false; array_y1_set_initial[1, 3] := false; array_y1_set_initial[1, 4] := false; array_y1_set_initial[1, 5] := false; array_y1_set_initial[1, 6] := false; array_y1_set_initial[1, 7] := false; array_y1_set_initial[1, 8] := false; array_y1_set_initial[1, 9] := false; array_y1_set_initial[1, 10] := false; array_y1_set_initial[1, 11] := false; array_y1_set_initial[1, 12] := false; array_y1_set_initial[1, 13] := false; array_y1_set_initial[1, 14] := false; array_y1_set_initial[1, 15] := false; array_y1_set_initial[1, 16] := false; array_y1_set_initial[1, 17] := false; array_y1_set_initial[1, 18] := false; array_y1_set_initial[1, 19] := false; array_y1_set_initial[1, 20] := false; array_y1_set_initial[1, 21] := false; array_y1_set_initial[1, 22] := false; array_y1_set_initial[1, 23] := false; array_y1_set_initial[1, 24] := false; array_y1_set_initial[1, 25] := false; array_y1_set_initial[1, 26] := false; array_y1_set_initial[1, 27] := false; array_y1_set_initial[1, 28] := false; array_y1_set_initial[1, 29] := false; array_y1_set_initial[1, 30] := false; array_y2_set_initial[2, 1] := true; array_y2_set_initial[2, 2] := false; array_y2_set_initial[2, 3] := false; array_y2_set_initial[2, 4] := false; array_y2_set_initial[2, 5] := false; array_y2_set_initial[2, 6] := false; array_y2_set_initial[2, 7] := false; array_y2_set_initial[2, 8] := false; array_y2_set_initial[2, 9] := false; array_y2_set_initial[2, 10] := false; array_y2_set_initial[2, 11] := false; array_y2_set_initial[2, 12] := false; array_y2_set_initial[2, 13] := false; array_y2_set_initial[2, 14] := false; array_y2_set_initial[2, 15] := false; array_y2_set_initial[2, 16] := false; array_y2_set_initial[2, 17] := false; array_y2_set_initial[2, 18] := false; array_y2_set_initial[2, 19] := false; array_y2_set_initial[2, 20] := false; array_y2_set_initial[2, 21] := false; array_y2_set_initial[2, 22] := false; array_y2_set_initial[2, 23] := false; array_y2_set_initial[2, 24] := false; array_y2_set_initial[2, 25] := false; array_y2_set_initial[2, 26] := false; array_y2_set_initial[2, 27] := false; array_y2_set_initial[2, 28] := false; array_y2_set_initial[2, 29] := false; array_y2_set_initial[2, 30] := false; if glob_html_log then html_log_file := fopen("html/entry.html", WRITE, TEXT) end if; omniout_str(ALWAYS, "START of Soultion"); array_x[1] := x_start; array_x[2] := glob_h; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y1[term_no] := array_y1_init[term_no]*glob_h^(term_no - 1)/ factorial_1(term_no - 1); term_no := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; array_y1_higher[r_order, term_no] := array_y1_init[it]* glob_h^(term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; r_order := r_order + 1 end do; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y2[term_no] := array_y2_init[term_no]*glob_h^(term_no - 1)/ factorial_1(term_no - 1); term_no := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; array_y2_higher[r_order, term_no] := array_y2_init[it]* glob_h^(term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; r_order := r_order + 1 end do; current_iter := 1; glob_clock_start_sec := elapsed_time_seconds(); start_array_y1(); if glob_small_float < abs(array_y1_higher[1, 1]) then tmp := abs(array_y1_higher[1, 1]); log10norm := log10(tmp); if log10norm < glob_log10normmin then glob_log10normmin := log10norm end if end if; display_alot(current_iter); start_array_y2(); if glob_small_float < abs(array_y2_higher[1, 1]) then tmp := abs(array_y2_higher[1, 1]); log10norm := log10(tmp); if log10norm < glob_log10normmin then glob_log10normmin := log10norm end if end if; display_alot(current_iter); glob_clock_sec := elapsed_time_seconds(); glob_current_iter := 0; glob_iter := 0; omniout_str(DEBUGL, " "); glob_reached_optimal_h := true; glob_optimal_clock_start_sec := elapsed_time_seconds(); while glob_current_iter < glob_max_iter and array_x[1] <= x_end and convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec) do omniout_str(INFO, " "); omniout_str(INFO, "TOP MAIN SOLVE Loop"); glob_iter := glob_iter + 1; glob_clock_sec := elapsed_time_seconds(); glob_current_iter := glob_current_iter + 1; if glob_subiter_method = 1 then atomall() elif glob_subiter_method = 2 then subiter := 1; while subiter <= 2 do atomall(); subiter := subiter + 1 end do else subiter := 1; while subiter <= 2 + glob_max_terms do atomall(); subiter := subiter + 1 end do end if; if glob_look_poles then check_for_pole() end if; array_x[1] := array_x[1] + glob_h; array_x[2] := glob_h; order_diff := 1; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y1_higher_work[2, iii] := array_y1_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y1_higher_work[1, iii] := array_y1_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y1_higher_work[1, iii] := array_y1_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; term_no := glob_max_terms; while 1 <= term_no do array_y1[term_no] := array_y1_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y1_higher[ord, term_no] := array_y1_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do; order_diff := 1; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; term_no := glob_max_terms; while 1 <= term_no do array_y2[term_no] := array_y2_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y2_higher[ord, term_no] := array_y2_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do; display_alot(current_iter) end do; omniout_str(ALWAYS, "Finished!"); if glob_max_iter <= glob_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!") end if; if convfloat(glob_max_sec) <= elapsed_time_seconds() - convfloat(glob_orig_start_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!") end if; glob_clock_sec := elapsed_time_seconds(); omniout_str(INFO, "diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); omniout_str(INFO, "diff ( y2 , x , 1 ) = y1 - 1.0;"); omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "); prog_report(x_start, x_end); if glob_html_log then logstart(html_log_file); logitem_str(html_log_file, "2012-06-16T22:39:38-05:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "mtest2") ; logitem_str(html_log_file, "diff ( y1 , x , 1 ) = m1 * y2 + 1.0;") ; logitem_float(html_log_file, x_start); logitem_float(html_log_file, x_end); logitem_float(html_log_file, array_x[1]); logitem_float(html_log_file, glob_h); logitem_integer(html_log_file, Digits); logitem_integer(html_log_file, glob_max_terms); logitem_float(html_log_file, array_1st_rel_error[1]); logitem_float(html_log_file, array_last_rel_error[1]); logitem_integer(html_log_file, glob_iter); logitem_pole(html_log_file, array_type_pole[1]); if array_type_pole[1] = 1 or array_type_pole[1] = 2 then logitem_float(html_log_file, array_pole[1]); logitem_float(html_log_file, array_pole[2]); 0 else logitem_str(html_log_file, "NA"); logitem_str(html_log_file, "NA"); 0 end if; logitem_time(html_log_file, convfloat(glob_clock_sec)); if glob_percent_done < 100.0 then logitem_time(html_log_file, convfloat(glob_optimal_expect_sec)) ; 0 else logitem_str(html_log_file, "Done"); 0 end if; log_revs(html_log_file, " 091 "); logitem_str(html_log_file, "mtest2 diffeq.mxt"); logitem_str(html_log_file, "mtest2 maple results"); logitem_str(html_log_file, "Test of revised logic - mostly for speeding factorials"); logend(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logitem_str(html_log_file, "diff ( y2 , x , 1 ) = y1 - 1.0;"); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logitem_float(html_log_file, array_1st_rel_error[2]); logitem_float(html_log_file, array_last_rel_error[2]); logditto(html_log_file); logitem_pole(html_log_file, array_type_pole[2]); if array_type_pole[2] = 1 or array_type_pole[2] = 2 then logitem_float(html_log_file, array_pole[1]); logitem_float(html_log_file, array_pole[2]); 0 else logitem_str(html_log_file, "NA"); logitem_str(html_log_file, "NA"); 0 end if; logditto(html_log_file); if glob_percent_done < 100.0 then logditto(html_log_file); 0 else logditto(html_log_file); 0 end if; logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logend(html_log_file) end if; if glob_html_log then fclose(html_log_file) end if end proc > mainprog(); ##############ECHO OF PROBLEM################# ##############temp/mtest2postode.ode################# diff ( y1 , x , 1 ) = m1 * y2 + 1.0; diff ( y2 , x , 1 ) = y1 - 1.0; ! #BEGIN FIRST INPUT BLOCK Digits := 32; max_terms:=30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := 0.1; x_end := 10.0; array_y1_init[0 + 1] := exact_soln_y1(x_start); array_y2_init[0 + 1] := exact_soln_y2(x_start); # testing comment glob_h := 0.00001 ; glob_look_poles := true; glob_max_iter := 10; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_h := 0.001 ; glob_look_poles := true; glob_max_iter := 1000; glob_max_minutes := 15; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y1 := proc(x) 1.0 + cos(x); end; exact_soln_y2 := proc(x) 1.0 + sin(x); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y1[1] (analytic) = 1.9950041652780257660955619878039 y1[1] (numeric) = 1.9950041652780257660955619878039 absolute error = 0 relative error = 0 % h = 0.001 y2[1] (analytic) = 1.0998334166468281523068141984106 y2[1] (numeric) = 1.0998334166468281523068141984106 absolute error = 0 relative error = 0 % h = 0.001 x[1] = 0.1 y1[1] (analytic) = 1.9950041652780257660955619878039 y1[1] (numeric) = 1.9950041652780257660955619878039 absolute error = 0 relative error = 0 % h = 0.001 y2[1] (analytic) = 1.0998334166468281523068141984106 y2[1] (numeric) = 1.0998334166468281523068141984106 absolute error = 0 relative error = 0 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.101 y1[1] (analytic) = 1.994903834375976659378402999829 y1[1] (numeric) = 1.994903834375976659330072446903 absolute error = 4.83305529260e-20 relative error = 2.4227008887933798081809577766315e-18 % h = 0.001 y2[1] (analytic) = 1.1008283707295679951297521195232 y2[1] (numeric) = 1.1008283707295679951245513567548 absolute error = 5.2007627684e-21 relative error = 4.7244083698108387754059116643976e-19 % h = 0.001 TOP MAIN SOLVE Loop memory used=3.8MB, alloc=3.1MB, time=0.19 NO POLE NO POLE x[1] = 0.102 y1[1] (analytic) = 1.9948025085701760853346856764599 y1[1] (numeric) = 1.9948025085701760852380350204623 absolute error = 9.66506559976e-20 relative error = 4.8451240452307603269412816161354e-18 % h = 0.001 y2[1] (analytic) = 1.1018232239839455107486422960806 y2[1] (numeric) = 1.101823223983945510738144114655 absolute error = 1.04981814256e-20 relative error = 9.5280088466831656795935497512387e-19 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.103 y1[1] (analytic) = 1.9947001879619498413211671928266 y1[1] (numeric) = 1.9947001879619498411762070285878 absolute error = 1.449601642388e-19 relative error = 7.2672657832809712535180716324922e-18 % h = 0.001 y2[1] (analytic) = 1.1028179754151075276904042105046 y2[1] (numeric) = 1.1028179754151075276745119702799 absolute error = 1.58922402247e-20 relative error = 1.4410574164533419203619092413278e-18 % h = 0.001 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=4.4MB, time=0.44 NO POLE NO POLE x[1] = 0.104 y1[1] (analytic) = 1.9945968726536185270373744944846 y1[1] (numeric) = 1.9945968726536185268441155617897 absolute error = 1.932589326949e-19 relative error = 9.6891224158888634205388013077512e-18 % h = 0.001 y2[1] (analytic) = 1.1038126240283026976889707546695 y2[1] (numeric) = 1.1038126240283026976675878314446 absolute error = 2.13829232249e-20 relative error = 1.9371877762064554536234939434273e-18 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.105 y1[1] (analytic) = 1.9944925627484974422050131246041 y1[1] (numeric) = 1.9944925627484974419634663081717 absolute error = 2.415468164324e-19 relative error = 1.2110690254945748612340991454953e-17 % h = 0.001 y2[1] (analytic) = 1.1048071688288824904365536000268 y2[1] (numeric) = 1.1048071688288824904095833857344 absolute error = 2.69702142924e-20 relative error = 2.4411693780905641683081842988073e-18 % h = 0.001 TOP MAIN SOLVE Loop memory used=11.4MB, alloc=4.4MB, time=0.69 NO POLE NO POLE x[1] = 0.106 y1[1] (analytic) = 1.9943872583508964832526761118722 y1[1] (numeric) = 1.9943872583508964829628524413332 absolute error = 2.898236705390e-19 relative error = 1.4531965611264843115167125080392e-17 % h = 0.001 y2[1] (analytic) = 1.1058016088223021882320906180187 y2[1] (numeric) = 1.1058016088223021881994365209186 absolute error = 3.26540971001e-20 relative error = 2.9529797062673093216658040407707e-18 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.107 y1[1] (analytic) = 1.9942809595661200390059562343918 y1[1] (numeric) = 1.994280959566120038667866884267 absolute error = 3.380893501248e-19 relative error = 1.6952944794616874357674530846156e-17 % h = 0.001 y2[1] (analytic) = 1.1067959430141218805258807024165 y2[1] (numeric) = 1.1067959430141218804874461472886 absolute error = 3.84345551279e-20 relative error = 3.4725963146586636970802274806927e-18 % h = 0.001 TOP MAIN SOLVE Loop memory used=15.2MB, alloc=4.5MB, time=0.94 NO POLE NO POLE x[1] = 0.108 y1[1] (analytic) = 1.9941736665004668853830659694533 y1[1] (numeric) = 1.9941736665004668849967222591317 absolute error = 3.863437103216e-19 relative error = 1.9373624113670420257795693283422e-17 % h = 0.001 y2[1] (analytic) = 1.1077901704100074583594114490316 y2[1] (numeric) = 1.1077901704100074583150998773695 absolute error = 4.43115716621e-20 relative error = 3.9999968266282516910837357922884e-18 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.109 y1[1] (analytic) = 1.9940653792612300790960704335539 y1[1] (numeric) = 1.9940653792612300786614838272702 absolute error = 4.345866062837e-19 relative error = 2.1793999876007451453060318257181e-17 % h = 0.001 y2[1] (analytic) = 1.1087842900157316086993852530554 y2[1] (numeric) = 1.1087842900157316086491001232592 absolute error = 5.02851297962e-20 relative error = 4.5351589347903320800553168500177e-18 % h = 0.001 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.5MB, time=1.19 NO POLE NO POLE x[1] = 0.11 y1[1] (analytic) = 1.9939560979566968503578396114198 y1[1] (numeric) = 1.993956097956696849875021718232 absolute error = 4.828178931878e-19 relative error = 2.4214068388093740982082108337834e-17 % h = 0.001 y2[1] (analytic) = 1.1097783008371748086649494900834 y2[1] (numeric) = 1.1097783008371748086085942776529 absolute error = 5.63552124305e-20 relative error = 5.0780604007113634819183322827101e-18 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.111 y1[1] (analytic) = 1.993845822696148494594827167072 y1[1] (numeric) = 1.9938458226961484940637897408385 absolute error = 5.310374262335e-19 relative error = 2.6633825955279355675241193226084e-17 % h = 0.001 y2[1] (analytic) = 1.1107722018803263196471365536769 y2[1] (numeric) = 1.1107722018803263195846147514047 absolute error = 6.25218022722e-20 relative error = 5.6286790546578737104513747791630e-18 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.112 y1[1] (analytic) = 1.9937345535898602631657841241467 y1[1] (numeric) = 1.9937345535898602625865390635034 absolute error = 5.792450606433e-19 relative error = 2.9053268881774067930080390019212e-17 % h = 0.001 y2[1] (analytic) = 1.1117659921512851813195196301052 y2[1] (numeric) = 1.1117659921512851812507347482699 absolute error = 6.87848818353e-20 relative error = 6.1869927953273818733037261582423e-18 % h = 0.001 TOP MAIN SOLVE Loop memory used=22.8MB, alloc=4.5MB, time=1.44 NO POLE NO POLE x[1] = 0.113 y1[1] (analytic) = 1.9936222907491012530865166967484 y1[1] (numeric) = 1.9936222907491012524590760450855 absolute error = 6.274406516629e-19 relative error = 3.1472393470637806027697108700383e-17 % h = 0.001 y2[1] (analytic) = 1.1127596706562612055390901996952 y2[1] (numeric) = 1.1127596706562612054639457662543 absolute error = 7.51444334409e-20 relative error = 6.7529795896164007036105741242238e-18 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.114 y1[1] (analytic) = 1.9935090342861342957607985460685 y1[1] (numeric) = 1.9935090342861342950851744915067 absolute error = 6.756240545618e-19 relative error = 3.3891196023786148788148794727919e-17 % h = 0.001 y2[1] (analytic) = 1.1137532364015759701363633639937 y2[1] (numeric) = 1.1137532364015759700547629247767 absolute error = 8.16004392170e-20 relative error = 7.3266174723444812336556340826865e-18 % h = 0.001 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.5MB, time=1.69 NO POLE NO POLE x[1] = 0.115 y1[1] (analytic) = 1.9933947843142158447175487318465 y1[1] (numeric) = 1.9933947843142158439937536072134 absolute error = 7.237951246331e-19 relative error = 3.6309672841955688330198347242800e-17 % h = 0.001 y2[1] (analytic) = 1.1147466883936638125937172087197 y2[1] (numeric) = 1.1147466883936638125055643276211 absolute error = 8.81528810986e-20 relative error = 7.9078845460063407876823468703747e-18 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.116 y1[1] (analytic) = 1.993279540947595862354387621489 y1[1] (numeric) = 1.9932795409475958615824339042952 absolute error = 7.719537171938e-19 relative error = 3.8727820224694463977227677572002e-17 % h = 0.001 y2[1] (analytic) = 1.1157400256390728236109725242508 y2[1] (numeric) = 1.1157400256390728235161707834229 absolute error = 9.48017408279e-20 relative error = 8.4967589805339754184835880559269e-18 % h = 0.001 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.5MB, time=1.95 NO POLE NO POLE x[1] = 0.117 y1[1] (analytic) = 1.993163304301517705687684013279 y1[1] (numeric) = 1.9931633043015177048675843256939 absolute error = 8.200996875851e-19 relative error = 4.1145634470352391504512297267748e-17 % h = 0.001 y2[1] (analytic) = 1.1167332471444658405572193181459 y2[1] (numeric) = 1.1167332471444658404556723181919 absolute error = 1.015469999540e-19 relative error = 9.0932190130149679979160720889905e-18 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.118 y1[1] (analytic) = 1.99304607449221801110920772362 y1[1] (numeric) = 1.9930460744922180102409748324471 absolute error = 8.682328911729e-19 relative error = 4.3563111876081722591741322559435e-17 % h = 0.001 y2[1] (analytic) = 1.117726351916621440807896667961 y2[1] (numeric) = 1.1177263519166214406995080281278 absolute error = 1.083886398332e-19 relative error = 9.6972429474656799941811462110628e-18 % h = 0.001 TOP MAIN SOLVE Loop memory used=34.3MB, alloc=4.5MB, time=2.20 NO POLE NO POLE x[1] = 0.119 y1[1] (analytic) = 1.9929278516369265781495028816522 y1[1] (numeric) = 1.9929278516369265772331496983044 absolute error = 9.163531833478e-19 relative error = 4.5980248737812414418891143286486e-17 % h = 0.001 y2[1] (analytic) = 1.1187193389624349349661325773612 y2[1] (numeric) = 1.1187193389624349348508059357321 absolute error = 1.153266416291e-19 relative error = 1.0308809154587476999281413529051e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.12 y1[1] (analytic) = 1.9928086358538662522480981678576 y1[1] (numeric) = 1.9928086358538662512836377483326 absolute error = 9.644604195250e-19 relative error = 4.8397041350222471151822012203744e-17 % h = 0.001 y2[1] (analytic) = 1.119712207288919359967350614271 y2[1] (numeric) = 1.119712207288919359844989627959 absolute error = 1.223609863120e-19 relative error = 1.0927896071461440503205691531038e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.5MB, time=2.45 NO POLE NO POLE x[1] = 0.121 y1[1] (analytic) = 1.9926884272622528065306712264356 y1[1] (numeric) = 1.9926884272622528055181167712902 absolute error = 1.0125544551454e-18 relative error = 5.0813486006768493509757294659088e-17 % h = 0.001 y2[1] (analytic) = 1.1207049559032064720661502265403 y2[1] (numeric) = 1.1207049559032064719366585718805 absolute error = 1.294916546598e-19 relative error = 1.1554482201378253828048812550553e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.122 y1[1] (analytic) = 1.992567225982294822593285474272 y1[1] (numeric) = 1.992567225982294821532650328597 absolute error = 1.0606351456750e-18 relative error = 5.3229578999630920929075439569264e-17 % h = 0.001 y2[1] (analytic) = 1.1216975838125477397044677483272 y2[1] (numeric) = 1.1216975838125477395677491210697 absolute error = 1.367186272575e-19 relative error = 1.2188546113543889489825385209719e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.123 y1[1] (analytic) = 1.9924450321351935702938185222573 y1[1] (numeric) = 1.992445032135193569185116175652 absolute error = 1.1087023466053e-18 relative error = 5.5645316619709441989791125878824e-17 % h = 0.001 y2[1] (analytic) = 1.1226900900243153362600252291201 y2[1] (numeric) = 1.1226900900243153361159833446227 absolute error = 1.440418844974e-19 relative error = 1.2830066442848918903527208272762e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.5MB, time=2.70 NO POLE NO POLE x[1] = 0.124 y1[1] (analytic) = 1.992321845843142886550702417515 y1[1] (numeric) = 1.9923218458431428853939465040607 absolute error = 1.1567559134543e-18 relative error = 5.8060695156648517243198215245480e-17 % h = 0.001 y2[1] (analytic) = 1.1236824735460031326740743370329 y2[1] (numeric) = 1.1236824735460031325226129304539 absolute error = 1.514614065790e-19 relative error = 1.3479021889612059316056800864928e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.125 y1[1] (analytic) = 1.9921976672293290531490969077882 y1[1] (numeric) = 1.9921976672293290519443012060226 absolute error = 1.2047957017656e-18 relative error = 6.0475710898767538051266636756011e-17 % h = 0.001 y2[1] (analytic) = 1.1246747333852276899574427087121 y2[1] (numeric) = 1.1246747333852276897984655352027 absolute error = 1.589771735094e-19 relative error = 1.4135391219369250197174710113365e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=45.7MB, alloc=4.5MB, time=2.96 NO POLE NO POLE x[1] = 0.126 y1[1] (analytic) = 1.9920724964179306735546179218037 y1[1] (numeric) = 1.992072496417930672301796354694 absolute error = 1.2528215671097e-18 relative error = 6.2890360133101395637902749953587e-17 % h = 0.001 y2[1] (analytic) = 1.1256668685497292515738902398917 y2[1] (numeric) = 1.1256668685497292514073010747891 absolute error = 1.665891651026e-19 relative error = 1.4799153262565841595901340808809e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.127 y1[1] (analytic) = 1.9919463335341185487347444518721 y1[1] (numeric) = 1.9919463335341185474339110867888 absolute error = 1.3008333650833e-18 relative error = 6.5304639145340659593987397168872e-17 % h = 0.001 y2[1] (analytic) = 1.1266588780473727356997829333235 y2[1] (numeric) = 1.126658878047372735525485572343 absolute error = 1.742973609805e-19 relative error = 1.5470286914401015519095097612826e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.6MB, time=3.21 NO POLE NO POLE x[1] = 0.128 y1[1] (analytic) = 1.9918191787040555519880280173089 y1[1] (numeric) = 1.9918191787040555506391970659988 absolute error = 1.3488309513101e-18 relative error = 6.7718544219847040236435512405753e-17 % h = 0.001 y2[1] (analytic) = 1.1276507608861487273590920444897 y2[1] (numeric) = 1.1276507608861487271769903039178 absolute error = 1.821017405719e-19 relative error = 1.6148771134495388457640617817000e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.129 y1[1] (analytic) = 1.9916910320548965027812298794554 y1[1] (numeric) = 1.9916910320548965013844156980143 absolute error = 1.3968141814411e-18 relative error = 7.0132071639643750996304573244244e-17 % h = 0.001 y2[1] (analytic) = 1.128642516074174470432726390184 y2[1] (numeric) = 1.1286425160741744702427241070704 absolute error = 1.900022831136e-19 relative error = 1.6834584946746152505050905542129e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.6MB, time=3.46 NO POLE NO POLE x[1] = 0.13 y1[1] (analytic) = 1.9915618937147880395945121711518 y1[1] (numeric) = 1.9915618937147880381497292599974 absolute error = 1.4447829111544e-18 relative error = 7.2545217686380759680459885615648e-17 % h = 0.001 y2[1] (analytic) = 1.1296341426196948595412058107083 y2[1] (numeric) = 1.1296341426196948593432068430589 absolute error = 1.979989676494e-19 relative error = 1.7527707438996802028768291735070e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.131 y1[1] (analytic) = 1.9914317638128684917748100954616 y1[1] (numeric) = 1.9914317638128684902820730993056 absolute error = 1.4927369961560e-18 relative error = 7.4957978640350239786815166052499e-17 % h = 0.001 y2[1] (analytic) = 1.1306256395310834317996839030976 y2[1] (numeric) = 1.1306256395310834315935921300667 absolute error = 2.060917730309e-19 relative error = 1.8228117762867527421468227273933e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.6MB, time=3.71 NO POLE NO POLE x[1] = 0.132 y1[1] (analytic) = 1.991300642479267750397513340263 y1[1] (numeric) = 1.9913006424792677488568370480836 absolute error = 1.5406762921794e-18 relative error = 7.7370350780441764169325861697022e-17 % h = 0.001 y2[1] (analytic) = 1.1316170058168433584443282704301 y2[1] (numeric) = 1.1316170058168433582300475925128 absolute error = 2.142806779173e-19 relative error = 1.8935795133497858233704999947121e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.133 y1[1] (analytic) = 1.9911685298451071381365858470171 y1[1] (numeric) = 1.9911685298451071365479851920305 absolute error = 1.5886006549866e-18 relative error = 7.9782330384167789895381769263193e-17 % h = 0.001 y2[1] (analytic) = 1.1326082404856084363290666609268 y2[1] (numeric) = 1.1326082404856084361065010001515 absolute error = 2.225656607753e-19 relative error = 1.9650718829299215725785166851166e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.134 y1[1] (analytic) = 1.9910354260424992781432540635797 y1[1] (numeric) = 1.9910354260424992765067441232122 absolute error = 1.6365099403675e-18 relative error = 8.2193913727608791426299677279037e-17 % h = 0.001 y2[1] (analytic) = 1.1335993425461440792917075001763 y2[1] (numeric) = 1.1335993425461440790607608002971 absolute error = 2.309466998792e-19 relative error = 2.0372868191726136921927055140190e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.6MB, time=3.95 NO POLE NO POLE x[1] = 0.135 y1[1] (analytic) = 1.9909013312045479619333948023605 y1[1] (numeric) = 1.9909013312045479602489907982195 absolute error = 1.6844040041410e-18 relative error = 8.4605097085443758650034012416460e-17 % h = 0.001 y2[1] (analytic) = 1.1345903110073483093884434504466 y2[1] (numeric) = 1.1345903110073483091490196771357 absolute error = 2.394237733109e-19 relative error = 2.1102222625039616030501601556162e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.136 y1[1] (analytic) = 1.990766245465348016283754816428 y1[1] (numeric) = 1.9907662454653480145514721142736 absolute error = 1.7322827021544e-18 relative error = 8.7015876730895311306670325250387e-17 % h = 0.001 y2[1] (analytic) = 1.1355811448782527479957467626642 y2[1] (numeric) = 1.135581144878252747747749903704 absolute error = 2.479968589602e-19 relative error = 2.1838761596097836946298479627842e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.6MB, time=4.21 NO POLE NO POLE x[1] = 0.137 y1[1] (analytic) = 1.9906301689599851691371351973316 y1[1] (numeric) = 1.9906301689599851673569893070473 absolute error = 1.7801458902843e-18 relative error = 8.9426248935750142459467811629611e-17 % h = 0.001 y2[1] (analytic) = 1.1365718431680236067786653192461 y2[1] (numeric) = 1.1365718431680236065219993847216 absolute error = 2.566659345245e-19 relative error = 2.2582464634094945498511451930536e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.138 y1[1] (analytic) = 1.9904931018245359145166746894438 y1[1] (numeric) = 1.9904931018245359126886812650074 absolute error = 1.8279934244364e-18 relative error = 9.1836209970324205924677240428908e-17 % h = 0.001 y2[1] (analytic) = 1.1375624048859626785245283995723 y2[1] (numeric) = 1.1375624048859626782590974220633 absolute error = 2.654309775090e-19 relative error = 2.3333311330344877497306007328348e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.6MB, time=4.46 NO POLE NO POLE x[1] = 0.139 y1[1] (analytic) = 1.9903550441960673764493670065295 y1[1] (numeric) = 1.9903550441960673745735418459833 absolute error = 1.8758251605462e-18 relative error = 9.4245756103473105705509047047901e-17 % h = 0.001 y2[1] (analytic) = 1.1385528290415083278410713344755 y2[1] (numeric) = 1.1385528290415083275667793692487 absolute error = 2.742919652268e-19 relative error = 2.4091281338057270942944040683375e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.14 y1[1] (analytic) = 1.9902159962126371718989482270114 y1[1] (numeric) = 1.9902159962126371699753072724328 absolute error = 1.9236409545786e-18 relative error = 9.6654883602547217644075419741395e-17 % h = 0.001 y2[1] (analytic) = 1.1395431146442364817179883517054 y2[1] (numeric) = 1.1395431146442364814347394769066 absolute error = 2.832488747988e-19 relative error = 2.4856354372096736403941677491031e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.6MB, time=4.71 NO POLE NO POLE x[1] = 0.141 y1[1] (analytic) = 1.9900759580132932727082913350357 y1[1] (numeric) = 1.9900759580132932707368506725068 absolute error = 1.9714406625289e-18 relative error = 9.9063588733417139598198527132018e-17 % h = 0.001 y2[1] (analytic) = 1.1405332607038616199509230508977 y2[1] (numeric) = 1.1405332607038616196586213677442 absolute error = 2.923016831535e-19 relative error = 2.5628510208734355793842844418558e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.142 y1[1] (analytic) = 1.9899349297380738665514459649294 y1[1] (numeric) = 1.989934929738073864532221824507 absolute error = 2.0192241404224e-18 relative error = 1.0147186776042879652164912790633e-16 % h = 0.001 y2[1] (analytic) = 1.1415232662302377654269060841403 y2[1] (numeric) = 1.1415232662302377651254557171125 absolute error = 3.014503670278e-19 relative error = 2.6407728685487820409832344363236e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.6MB, time=4.96 NO POLE NO POLE x[1] = 0.143 y1[1] (analytic) = 1.9897929115280072168954623969991 y1[1] (numeric) = 1.9897929115280072148284711526842 absolute error = 2.0669912443149e-18 relative error = 1.0387971694640375556310389904528e-16 % h = 0.001 y2[1] (analytic) = 1.1425131302333594742702497567803 y2[1] (numeric) = 1.1425131302333594739595548538141 absolute error = 3.106949029662e-19 relative error = 2.7193989700822103339946357985823e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.144 y1[1] (analytic) = 1.9896499035251115219721398428361 y1[1] (numeric) = 1.989649903525111519857398012543 absolute error = 2.1147418302931e-18 relative error = 1.0628713255263451343943875826455e-16 % h = 0.001 y2[1] (analytic) = 1.143502851723362825847909402661 y2[1] (numeric) = 1.1435028517233628255278741353396 absolute error = 3.200352673214e-19 relative error = 2.7987273213973864381875829596501e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.145 y1[1] (analytic) = 1.989505905872394772759840048366 y1[1] (numeric) = 1.9895059058723947705973642938916 absolute error = 2.1624757544744e-18 relative error = 1.0869411083884962174787257897387e-16 % h = 0.001 y2[1] (analytic) = 1.1444924297105264126333215285089 y2[1] (numeric) = 1.144492429710526412303850092255 absolute error = 3.294714362539e-19 relative error = 2.8787559244689139661754647149247e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.6MB, time=5.21 NO POLE NO POLE x[1] = 0.146 y1[1] (analytic) = 1.9893609187138546099755082328197 y1[1] (numeric) = 1.9893609187138546077653153598121 absolute error = 2.2101928730076e-18 relative error = 1.1110064806322403595585313578381e-16 % h = 0.001 y2[1] (analytic) = 1.1454818632052723299277288637166 y2[1] (numeric) = 1.145481863205272329588725477984 absolute error = 3.390033857326e-19 relative error = 2.9594827873049440616668278891743e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.147 y1[1] (analytic) = 1.9892149421944781800770443715908 y1[1] (numeric) = 1.9892149421944781778191513295179 absolute error = 2.2578930420729e-18 relative error = 1.1350674048235427727071354491635e-16 % h = 0.001 y2[1] (analytic) = 1.1464711512181671654380025942768 y2[1] (numeric) = 1.1464711512181671650893715027426 absolute error = 3.486310915342e-19 relative error = 3.0409059239193836236485271164514e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=83.9MB, alloc=4.6MB, time=5.46 NO POLE NO POLE x[1] = 0.148 y1[1] (analytic) = 1.9890679764602419902761688205978 y1[1] (numeric) = 1.9890679764602419879705927027155 absolute error = 2.3055761178823e-18 relative error = 1.1591238435125369165790780167764e-16 % h = 0.001 y2[1] (analytic) = 1.1474602927599229887099722031298 y2[1] (numeric) = 1.1474602927599229883516176738862 absolute error = 3.583545292436e-19 relative error = 3.1230233543129375310701122309899e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.149 y1[1] (analytic) = 1.9889200216581117625619272692718 y1[1] (numeric) = 1.9889200216581117602086853125923 absolute error = 2.3532419566795e-18 relative error = 1.1831757592332256560207231033339e-16 % h = 0.001 y2[1] (analytic) = 1.148449286841398340416273483676 y2[1] (numeric) = 1.1484492868413983400480998094219 absolute error = 3.681736742541e-19 relative error = 3.2058331044524828467368048931008e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.6MB, time=5.72 NO POLE NO POLE x[1] = 0.15 y1[1] (analytic) = 1.9887710779360422867349809986543 y1[1] (numeric) = 1.9887710779360422843340905839138 absolute error = 2.4008904147405e-18 relative error = 1.2072231145035342422675357534337e-16 % h = 0.001 y2[1] (analytic) = 1.1494381324735992214977254386876 y2[1] (numeric) = 1.1494381324735992211196369369206 absolute error = 3.780885017670e-19 relative error = 3.2893332062453052099333053139046e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.151 y1[1] (analytic) = 1.9886211454429772724528294103012 y1[1] (numeric) = 1.9886211454429772700043080619274 absolute error = 2.4485213483738e-18 relative error = 1.2312658718251621539680624332369e-16 % h = 0.001 y2[1] (analytic) = 1.1504268286676800821572469233262 y2[1] (numeric) = 1.150426828667680081769147936534 absolute error = 3.880989867922e-19 relative error = 3.3735216975221363282038872200746e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.6MB, time=5.97 NO POLE NO POLE x[1] = 0.152 y1[1] (analytic) = 1.9884702243288492002861127807586 y1[1] (numeric) = 1.9884702243288491977899781668383 absolute error = 2.4961346139203e-18 relative error = 1.2553039936832839824114401688326e-16 % h = 0.001 y2[1] (analytic) = 1.1514153744349448107053240384303 y2[1] (numeric) = 1.1514153744349448103071189342829 absolute error = 3.982051041474e-19 relative error = 3.4583966220080958688821160832605e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.153 y1[1] (analytic) = 1.9883183147445791717861441852958 y1[1] (numeric) = 1.9883183147445791692424141175417 absolute error = 2.5437300677541e-18 relative error = 1.2793374425467028045457977939837e-16 % h = 0.001 y2[1] (analytic) = 1.1524037687868477222560394286898 y2[1] (numeric) = 1.1524037687868477218476326002308 absolute error = 4.084068284590e-19 relative error = 3.5439560293085107914737749898354e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.6MB, time=6.23 NO POLE NO POLE x[1] = 0.154 y1[1] (analytic) = 1.9881654168420767585638205233501 y1[1] (numeric) = 1.988165416842076755972512957068 absolute error = 2.5913075662821e-18 relative error = 1.3033661808674000348839553240284e-16 % h = 0.001 y2[1] (analytic) = 1.1533920107349945472726747897587 y2[1] (numeric) = 1.1533920107349945468539706555971 absolute error = 4.187041341616e-19 relative error = 3.6301979748826457389287350337818e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.155 y1[1] (analytic) = 1.9880115307742398503800635667605 y1[1] (numeric) = 1.9880115307742398477411966008156 absolute error = 2.6388669659449e-18 relative error = 1.3273901710807389696308661144234e-16 % h = 0.001 y2[1] (analytic) = 1.1543800992911434199618980387873 y2[1] (numeric) = 1.1543800992911434195328010432889 absolute error = 4.290969954984e-19 relative error = 3.7171205200253411674496246385125e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.156 y1[1] (analytic) = 1.9878566566949545022479429403361 y1[1] (numeric) = 1.9878566566949544995615348171197 absolute error = 2.6864081232164e-18 relative error = 1.3514093756050144342214652277108e-16 % h = 0.001 y2[1] (analytic) = 1.1553680334672058665155467542681 y2[1] (numeric) = 1.155368033467205866075961367747 absolute error = 4.395853865211e-19 relative error = 3.8047217318443946305922312891469e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.6MB, time=6.47 NO POLE NO POLE x[1] = 0.157 y1[1] (analytic) = 1.9877007947590947805466339326243 y1[1] (numeric) = 1.9877007947590947778127030380198 absolute error = 2.7339308946045e-18 relative error = 1.3754237568415556034344133572480e-16 % h = 0.001 y2[1] (analytic) = 1.1563558122752477931990196434946 y2[1] (numeric) = 1.1563558122752477927488503624049 absolute error = 4.501692810897e-19 relative error = 3.8929996832371699345637798124916e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.158 y1[1] (analytic) = 1.9875439451225226081473640229073 y1[1] (numeric) = 1.987543945122522605365928886256 absolute error = 2.7814351366513e-18 relative error = 1.3994332771745772820899101189866e-16 % h = 0.001 y2[1] (analytic) = 1.1573434347274904742852879493246 y2[1] (numeric) = 1.1573434347274904738244392964517 absolute error = 4.608486528729e-19 relative error = 3.9819524528724872184122388707744e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=102.9MB, alloc=4.6MB, time=6.74 NO POLE NO POLE x[1] = 0.159 y1[1] (analytic) = 1.9873861079420876085515029984672 y1[1] (numeric) = 1.9873861079420876057225822925343 absolute error = 2.8289207059329e-18 relative error = 1.4234378989708298256897269325264e-16 % h = 0.001 y2[1] (analytic) = 1.1583308998363115398335388623175 y2[1] (numeric) = 1.1583308998363115393619153869696 absolute error = 4.716234753479e-19 relative error = 4.0715781251674028153406759121433e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.16 y1[1] (analytic) = 1.9872272833756269490409525240183 y1[1] (numeric) = 1.9872272833756269461645650649581 absolute error = 2.8763874590602e-18 relative error = 1.4474375845797520867556960036101e-16 % h = 0.001 y2[1] (analytic) = 1.159318206614245963311463159686 y2[1] (numeric) = 1.1593182066142459628289694378853 absolute error = 4.824937218007e-19 relative error = 4.1618747902683978123171942017372e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=106.8MB, alloc=4.6MB, time=6.99 NO POLE NO POLE x[1] = 0.161 y1[1] (analytic) = 1.9870674715819651828409920129024 y1[1] (numeric) = 1.9870674715819651799171567602234 absolute error = 2.9238352526790e-18 relative error = 1.4714322963332721350890991162043e-16 % h = 0.001 y2[1] (analytic) = 1.1603053540739870490601994488555 y2[1] (numeric) = 1.1603053540739870485667400835298 absolute error = 4.934593653257e-19 relative error = 4.2528405440266070495300826734804e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.162 y1[1] (analytic) = 1.9869066727209140902957386371875 y1[1] (numeric) = 1.9869066727209140873244746937177 absolute error = 2.9712639434698e-18 relative error = 1.4954219965454568727484723810267e-16 % h = 0.001 y2[1] (analytic) = 1.1612923412283874196009475507708 y2[1] (numeric) = 1.1612923412283874190964271719444 absolute error = 5.045203788264e-19 relative error = 4.3444734879826241018452736549483e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=110.6MB, alloc=4.6MB, time=7.24 NO POLE NO POLE x[1] = 0.163 y1[1] (analytic) = 1.9867448869532725190563803011996 y1[1] (numeric) = 1.9867448869532725160377069130508 absolute error = 3.0186733881488e-18 relative error = 1.5194066475127654601419703267946e-16 % h = 0.001 y2[1] (analytic) = 1.1622791670904600027822637164169 y2[1] (numeric) = 1.1622791670904600022665869814022 absolute error = 5.156767350147e-19 relative error = 4.4367717293393159623067531739427e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.164 y1[1] (analytic) = 1.9865821144408262232823413902376 y1[1] (numeric) = 1.9865821144408262202162779467703 absolute error = 3.0660634434673e-18 relative error = 1.5433862115134974407166458567322e-16 % h = 0.001 y2[1] (analytic) = 1.1632658306733790187670505293435 y2[1] (numeric) = 1.1632658306733790182401221229319 absolute error = 5.269284064116e-19 relative error = 4.5297333809467889043570522394615e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.6MB, time=7.50 NO POLE NO POLE x[1] = 0.165 y1[1] (analytic) = 1.9864183553463477018555420932949 y1[1] (numeric) = 1.9864183553463476987421081270823 absolute error = 3.1134339662126e-18 relative error = 1.5673606508079957006910781815180e-16 % h = 0.001 y2[1] (analytic) = 1.1642523309904809668582545072829 y2[1] (numeric) = 1.1642523309904809663199791419361 absolute error = 5.382753653468e-19 relative error = 4.6233565612779605285865744014813e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.166 y1[1] (analytic) = 1.9862536098335960356079130855139 y1[1] (numeric) = 1.9862536098335960324471282723057 absolute error = 3.1607848132082e-18 relative error = 1.5913299276384970842745598408669e-16 % h = 0.001 y2[1] (analytic) = 1.1652386670552656121622845772482 y2[1] (numeric) = 1.1652386670552656116125669932893 absolute error = 5.497175839589e-19 relative error = 4.7176393944093830615278199928041e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.167 y1[1] (analytic) = 1.9860878780673167235623283428443 y1[1] (numeric) = 1.986087878067316720354212501531 absolute error = 3.2081158413133e-18 relative error = 1.6152940042286304614590950410868e-16 % h = 0.001 y2[1] (analytic) = 1.1662248378813969720891647607741 y2[1] (numeric) = 1.1662248378813969715279097265787 absolute error = 5.612550341954e-19 relative error = 4.8125800100004271742746130732508e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.6MB, time=7.75 NO POLE NO POLE x[1] = 0.168 y1[1] (analytic) = 1.985921160213241518187119847961 y1[1] (numeric) = 1.9859211602132415149316929405369 absolute error = 3.2554269074241e-18 relative error = 1.6392528427838209020907083452833e-16 % h = 0.001 y2[1] (analytic) = 1.1672108424827043026884345692303 y2[1] (numeric) = 1.1672108424827043021155468814174 absolute error = 5.728876878129e-19 relative error = 4.9081765432742630951392975784414e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.169 y1[1] (analytic) = 1.9857534564380882596643389329105 y1[1] (numeric) = 1.9857534564380882563616210644373 absolute error = 3.3027178684732e-18 relative error = 1.6632064054907372148398175187619e-16 % h = 0.001 y2[1] (analytic) = 1.1681966798731830848198107733898 y2[1] (numeric) = 1.1681966798731830842351952570126 absolute error = 5.846155163772e-19 relative error = 5.0044271349980604391928989311666e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.6MB, time=8.01 NO POLE NO POLE x[1] = 0.17 y1[1] (analytic) = 1.9855847669095607091719299902125 y1[1] (numeric) = 1.9855847669095607058219414087824 absolute error = 3.3499885814301e-18 relative error = 1.6871546545172931770743290855110e-16 % h = 0.001 y2[1] (analytic) = 1.1691823490669960101576243766708 y2[1] (numeric) = 1.1691823490669960095611858854082 absolute error = 5.964384912626e-19 relative error = 5.1013299314564243802954915521185e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.171 y1[1] (analytic) = 1.9854150917963483811799832702289 y1[1] (numeric) = 1.985415091796348377782744366927 absolute error = 3.3972389033019e-18 relative error = 1.7110975520127494761817616959939e-16 % h = 0.001 y2[1] (analytic) = 1.1701678490784739670280467877005 y2[1] (numeric) = 1.1701678490784739664196902040473 absolute error = 6.083565836532e-19 relative error = 5.1988830844420363323867270748185e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.6MB, time=8.27 NO POLE NO POLE x[1] = 0.172 y1[1] (analytic) = 1.9852444312681263747612344685321 y1[1] (numeric) = 1.9852444312681263713167657773994 absolute error = 3.4444686911327e-18 relative error = 1.7350350601071608492777212168808e-16 % h = 0.001 y2[1] (analytic) = 1.1711531789221170260781193550527 y2[1] (numeric) = 1.1711531789221170254577495905109 absolute error = 6.203697645418e-19 relative error = 5.2970847512258280891723667453514e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.173 y1[1] (analytic) = 1.9850727854955552039159797927608 y1[1] (numeric) = 1.9850727854955552004243019907562 absolute error = 3.4916778020046e-18 relative error = 1.7589671409116289304243470161310e-16 % h = 0.001 y2[1] (analytic) = 1.1721383376125954257756005952159 y2[1] (numeric) = 1.1721383376125954251431225904853 absolute error = 6.324780047306e-19 relative error = 5.3959330945426419138545727613097e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.6MB, time=8.52 NO POLE NO POLE x[1] = 0.174 y1[1] (analytic) = 1.9849001546502806269115761840325 y1[1] (numeric) = 1.9849001546502806233727100909952 absolute error = 3.5388660930373e-18 relative error = 1.7828937565178498798659660504237e-16 % h = 0.001 y2[1] (analytic) = 1.1731233241647505577386456140236 y2[1] (numeric) = 1.1731233241647505570939643391926 absolute error = 6.446812748310e-19 relative error = 5.4954262825692701468572121164407e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.175 y1[1] (analytic) = 1.9847265389049334746366973533995 y1[1] (numeric) = 1.9847265389049334710506639320107 absolute error = 3.5860334213888e-18 relative error = 1.8068148689982159862530115786579e-16 % h = 0.001 y2[1] (analytic) = 1.1741081375935959518943323919514 y2[1] (numeric) = 1.1741081375935959512373528466876 absolute error = 6.569795452638e-19 relative error = 5.5955624889059914231849227755926e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.6MB, time=8.78 NO POLE NO POLE x[1] = 0.176 y1[1] (analytic) = 1.9845519384331294779705172790773 y1[1] (numeric) = 1.9845519384331294743373376348217 absolute error = 3.6331796442556e-18 relative error = 1.8307304404056653517739070493416e-16 % h = 0.001 y2[1] (analytic) = 1.1750927769143182614650497748359 y2[1] (numeric) = 1.1750927769143182607956769885768 absolute error = 6.693727862591e-19 relative error = 5.6963398925556261037932987093708e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.177 y1[1] (analytic) = 1.9843763534094690941669937952475 y1[1] (numeric) = 1.9843763534094690904866891763748 absolute error = 3.6803046188727e-18 relative error = 1.8546404327734306870097952556231e-16 % h = 0.001 y2[1] (analytic) = 1.1760772411422782477817621837097 y2[1] (numeric) = 1.1760772411422782470999012158533 absolute error = 6.818609678564e-19 relative error = 5.7977566779043769785889043394244e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.178 y1[1] (analytic) = 1.9841997840095373322544258881378 y1[1] (numeric) = 1.9841997840095373285270176856238 absolute error = 3.7274082025140e-18 relative error = 1.8785448081149895407962510993609e-16 % h = 0.001 y2[1] (analytic) = 1.1770615292930117649231662305697 y2[1] (numeric) = 1.1770615292930117642287221706651 absolute error = 6.944440599046e-19 relative error = 5.8998110347018961623108369191779e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.6MB, time=9.03 NO POLE NO POLE x[1] = 0.179 y1[1] (analytic) = 1.9840222304099035774504592998064 y1[1] (numeric) = 1.9840222304099035736759690473141 absolute error = 3.7744902524923e-18 relative error = 1.9024435284238128681661014219710e-16 % h = 0.001 y2[1] (analytic) = 1.1780456403822307441797546010046 y2[1] (numeric) = 1.1780456403822307434726325689425 absolute error = 7.071220320621e-19 relative error = 6.0025011580422805311869413891419e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.18 y1[1] (analytic) = 1.9838436927881214145927160246115 y1[1] (numeric) = 1.9838436927881214107711653984514 absolute error = 3.8215506261601e-18 relative error = 1.9263365556735166959720976615507e-16 % h = 0.001 y2[1] (analytic) = 1.1790295734258241783418027396992 y2[1] (numeric) = 1.1790295734258241776219078859022 absolute error = 7.198948537970e-19 relative error = 6.1058252483459903685761366341029e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.6MB, time=9.28 NO POLE NO POLE x[1] = 0.181 y1[1] (analytic) = 1.9836641713227284505852242677207 y1[1] (numeric) = 1.9836641713227284467166350868114 absolute error = 3.8685891809093e-18 relative error = 1.9502238518174593163071267401234e-16 % h = 0.001 y2[1] (analytic) = 1.1800133274398591058102940509108 y2[1] (numeric) = 1.180013327439859105077531556524 absolute error = 7.327624943868e-19 relative error = 6.2097815113376012380797003917894e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.182 y1[1] (analytic) = 1.983483666193246135860826419216 y1[1] (numeric) = 1.9834836661932461319452206450445 absolute error = 3.9156057741715e-18 relative error = 1.9741053787886407347742797755531e-16 % h = 0.001 y2[1] (analytic) = 1.1809969014405815945297995030755 y2[1] (numeric) = 1.1809969014405815937840745801567 absolute error = 7.457249229188e-19 relative error = 6.3143681580295743794565106216123e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.6MB, time=9.54 NO POLE NO POLE x[1] = 0.183 y1[1] (analytic) = 1.9833021775801795848597435813723 y1[1] (numeric) = 1.9833021775801795808971433179537 absolute error = 3.9626002634186e-18 relative error = 1.9979810984997533009387699979419e-16 % h = 0.001 y2[1] (analytic) = 1.1819802944444177257423277047451 y2[1] (numeric) = 1.1819802944444177249835455964553 absolute error = 7.587821082898e-19 relative error = 6.4195834047001661290555858011388e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.184 y1[1] (analytic) = 1.9831197056650173955244761705281 y1[1] (numeric) = 1.9831197056650173915149036643656 absolute error = 4.0095725061625e-18 relative error = 2.0218509728427785108924965447354e-16 % h = 0.001 y2[1] (analytic) = 1.1829635054679745775611616980887 y2[1] (numeric) = 1.1829635054679745767892276788821 absolute error = 7.719340192066e-19 relative error = 6.5254254728781905836756857093131e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=148.7MB, alloc=4.6MB, time=9.79 NO POLE NO POLE x[1] = 0.185 y1[1] (analytic) = 1.9829362506302314678112210986348 y1[1] (numeric) = 1.9829362506302314637546987386789 absolute error = 4.0565223599559e-18 relative error = 2.0457149636891382946430151247998e-16 % h = 0.001 y2[1] (analytic) = 1.1839465335280412083636988962014 y2[1] (numeric) = 1.1839465335280412075785182720159 absolute error = 7.851806241855e-19 relative error = 6.6318925893193923676936246764408e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.186 y1[1] (analytic) = 1.9827518126592768212179870230509 y1[1] (numeric) = 1.9827518126592768171145373406587 absolute error = 4.1034496823922e-18 relative error = 2.0695730328893924468637493993042e-16 % h = 0.001 y2[1] (analytic) = 1.1849293776415896400023107714653 y2[1] (numeric) = 1.1849293776415896392037888799123 absolute error = 7.985218915530e-19 relative error = 6.7389829859930448260251252745990e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=152.5MB, alloc=4.6MB, time=10.04 NO POLE NO POLE x[1] = 0.187 y1[1] (analytic) = 1.9825663919365914113295901364508 y1[1] (numeric) = 1.9825663919365914071792358053452 absolute error = 4.1503543311056e-18 relative error = 2.0934251422730367426498195346717e-16 % h = 0.001 y2[1] (analytic) = 1.185912036825775840832239084182 y2[1] (numeric) = 1.1859120368257758400202812947368 absolute error = 8.119577894452e-19 relative error = 6.8466949000576335848766986329319e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.188 y1[1] (analytic) = 1.9823799886475959453797139518383 y1[1] (numeric) = 1.9823799886475959411824777880664 absolute error = 4.1972361637719e-18 relative error = 2.1172712536486540242798838041599e-16 % h = 0.001 y2[1] (analytic) = 1.1868945100979407085555456236643 y2[1] (numeric) = 1.1868945100979407077300573378562 absolute error = 8.254882858081e-19 relative error = 6.9550265738442245969568498431212e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.189 y1[1] (analytic) = 1.9821926029786936968302175205875 y1[1] (numeric) = 1.9821926029786936925861224824794 absolute error = 4.2440950381081e-18 relative error = 2.1411113288034599567576644495174e-16 % h = 0.001 y2[1] (analytic) = 1.187876796475611052880132617919 y2[1] (numeric) = 1.1878767964756110520410192695212 absolute error = 8.391133483978e-19 memory used=156.4MB, alloc=4.6MB, time=10.29 relative error = 7.0639762548390538777017592154839e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.19 y1[1] (analytic) = 1.9820042351172703189678775041899 y1[1] (numeric) = 1.9820042351172703146769466923169 absolute error = 4.2909308118730e-18 relative error = 2.1649453295033530393345123830090e-16 % h = 0.001 y2[1] (analytic) = 1.1888588949765005779928511529813 y2[1] (numeric) = 1.1888588949765005771400182082007 absolute error = 8.528329447806e-19 relative error = 7.1735421956653435270314640948669e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.191 y1[1] (analytic) = 1.9818148852516936575187505029481 y1[1] (numeric) = 1.9818148852516936531810071600807 absolute error = 4.3377433428674e-18 relative error = 2.1887732174927627831446845534532e-16 % h = 0.001 y2[1] (analytic) = 1.189840804618510864845715128875 y2[1] (numeric) = 1.1898408046185108639790680865424 absolute error = 8.666470423326e-19 relative error = 7.2837226540609868023490741717054e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.6MB, time=10.54 NO POLE NO POLE x[1] = 0.192 y1[1] (analytic) = 1.9816245535713135622803430272392 y1[1] (numeric) = 1.9816245535713135578958105383049 absolute error = 4.3845324889343e-18 relative error = 2.2125949544944977751616680735961e-16 % h = 0.001 y2[1] (analytic) = 1.1908225244197323532542384660668 y2[1] (numeric) = 1.1908225244197323523736828578264 absolute error = 8.805556082404e-19 relative error = 7.3945158928655622599826397489613e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.193 y1[1] (analytic) = 1.9814332402664616977717774791618 y1[1] (numeric) = 1.9814332402664616933404793712028 absolute error = 4.4312981079590e-18 relative error = 2.2364105022095431591056843381025e-16 % h = 0.001 y2[1] (analytic) = 1.1918040533984453238069134641578 y2[1] (numeric) = 1.1918040533984453229123548546574 absolute error = 8.945586095004e-19 relative error = 7.5059201799956466530096523984681e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.6MB, time=10.80 NO POLE NO POLE x[1] = 0.194 y1[1] (analytic) = 1.9812409455284513529021434943852 y1[1] (numeric) = 1.9812409455284513484241034365156 absolute error = 4.4780400578696e-18 relative error = 2.2602198223170598652453688983105e-16 % h = 0.001 y2[1] (analytic) = 1.1927853905731208795848484034179 y2[1] (numeric) = 1.1927853905731208786761923904985 absolute error = 9.086560129194e-19 relative error = 7.6179337884311301688187296066529e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.195 y1[1] (analytic) = 1.9810476695495772496572249758333 y1[1] (numeric) = 1.9810476695495772451324667791963 absolute error = 4.5247581966370e-18 relative error = 2.2840228764741314205060469720885e-16 % h = 0.001 y2[1] (analytic) = 1.1937665349624219276905826696054 y2[1] (numeric) = 1.1937665349624219267677348844907 absolute error = 9.228477851147e-19 relative error = 7.7305549961973924446114859710721e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.6MB, time=11.05 NO POLE NO POLE x[1] = 0.196 y1[1] (analytic) = 1.9808534125231153508047941324606 y1[1] (numeric) = 1.9808534125231153462333417501851 absolute error = 4.5714523822755e-18 relative error = 2.3078196263158134826110062128478e-16 % h = 0.001 y2[1] (analytic) = 1.1947474855852041605850978733388 y2[1] (numeric) = 1.1947474855852041596479639808252 absolute error = 9.371338925136e-19 relative error = 7.8437820863425262521891763887310e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.197 y1[1] (analytic) = 1.980658174643322666618664817809 y1[1] (numeric) = 1.9806581746433226620005423449666 absolute error = 4.6181224728424e-18 relative error = 2.3316100334546784930306212166935e-16 % h = 0.001 y2[1] (analytic) = 1.1957282414605170372320436270931 y2[1] (numeric) = 1.1957282414605170362805293257388 absolute error = 9.515143013543e-19 relative error = 7.9576133469263635783235670216979e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.6MB, time=11.30 NO POLE NO POLE x[1] = 0.198 y1[1] (analytic) = 1.9804619561054370606216984442784 y1[1] (numeric) = 1.9804619561054370559569301178394 absolute error = 4.6647683264390e-18 relative error = 2.3553940594810669383858168664117e-16 % h = 0.001 y2[1] (analytic) = 1.1967088016076047640481968356735 y2[1] (numeric) = 1.1967088016076047630822078579887 absolute error = 9.659889776848e-19 relative error = 8.0720470709928252161684119365036e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.199 y1[1] (analytic) = 1.9802647571056770543479567300861 y1[1] (numeric) = 1.9802647571056770496365669288759 absolute error = 4.7113898012102e-18 relative error = 2.3791716659626317565944280493370e-16 % h = 0.001 y2[1] (analytic) = 1.1976891650459072756591735497928 y2[1] (numeric) = 1.1976891650459072746786156624285 absolute error = 9.805578873643e-19 relative error = 8.1870815565632618795033640217641e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=175.4MB, alloc=4.6MB, time=11.56 x[1] = 0.2 y1[1] (analytic) = 1.9800665778412416311241965167482 y1[1] (numeric) = 1.9800665778412416263662097614032 absolute error = 4.7579867553450e-18 relative error = 2.4029428144443369730585975536981e-16 % h = 0.001 y2[1] (analytic) = 1.1986693307950612154594126271184 y2[1] (numeric) = 1.1986693307950612144641916310564 absolute error = 9.952209960620e-19 relative error = 8.3027151066081195518091063370504e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.201 y1[1] (analytic) = 1.979867418510310038870902875571 y1[1] (numeric) = 1.9798674185103100340663438284942 absolute error = 4.8045590470768e-18 relative error = 2.4267074664483552900553008525720e-16 % h = 0.001 y2[1] (analytic) = 1.1996492978749009159754506408903 y2[1] (numeric) = 1.1996492978749009149654723716323 absolute error = 1.0099782692580e-18 relative error = 8.4189460290362312508805799857096e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.202 y1[1] (analytic) = 1.9796672793120415919230577021024 y1[1] (numeric) = 1.9796672793120415870719511674188 absolute error = 4.8511065346836e-18 relative error = 2.4504655834739150721600299296162e-16 % h = 0.001 y2[1] (analytic) = 1.2006290653054593790315076729148 y2[1] (numeric) = 1.2006290653054593780066780006717 absolute error = 1.0248296722431e-18 relative error = 8.5357726366749818694811665924484e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=179.2MB, alloc=4.6MB, time=11.81 NO POLE NO POLE x[1] = 0.203 y1[1] (analytic) = 1.9794661604465754718708419777594 y1[1] (numeric) = 1.9794661604465754669732129012711 absolute error = 4.8976290764883e-18 relative error = 2.4742171269971977288059864950144e-16 % h = 0.001 y2[1] (analytic) = 1.2016086321069692557164038254306 y2[1] (numeric) = 1.2016086321069692546766286553119 absolute error = 1.0397751701187e-18 relative error = 8.6531932472513848908263400491192e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.204 y1[1] (analytic) = 1.979264062115030527420470857911 y1[1] (numeric) = 1.9792640621150305224763443270525 absolute error = 4.9441265308585e-18 relative error = 2.4979620584709823862490551461080e-16 % h = 0.001 y2[1] (analytic) = 1.2025879972998638261508264850126 y2[1] (numeric) = 1.2025879972998638250960117572154 absolute error = 1.0548147277972e-18 relative error = 8.7712061833773920112514372880812e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.6MB, time=12.07 NO POLE NO POLE x[1] = 0.205 y1[1] (analytic) = 1.9790609845195050732753617255673 y1[1] (numeric) = 1.97906098451950506828476296936 absolute error = 4.9905987562073e-18 relative error = 2.5217003393247956023777423591898e-16 % h = 0.001 y2[1] (analytic) = 1.2035671599047779790539685713266 y2[1] (numeric) = 1.2035671599047779779840202613252 absolute error = 1.0699483100014e-18 relative error = 8.8898097725269486850786091554442e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.206 y1[1] (analytic) = 1.9788569278630766880378363294873 y1[1] (numeric) = 1.978856927863076683000790718494 absolute error = 5.0370456109933e-18 relative error = 2.5454319309646568700099203798314e-16 % h = 0.001 y2[1] (analytic) = 1.2045461189425491911085582041808 y2[1] (numeric) = 1.2045461189425491900233823229152 absolute error = 1.0851758812656e-18 relative error = 9.0090023470272577185910252264327e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.6MB, time=12.32 NO POLE NO POLE x[1] = 0.207 y1[1] (analytic) = 1.9786518923498020111315591049884 y1[1] (numeric) = 1.9786518923498020060480921512674 absolute error = 5.0834669537210e-18 relative error = 2.5691567947730260913808507434941e-16 % h = 0.001 y2[1] (analytic) = 1.2055248734342185061233004239223 y2[1] (numeric) = 1.2055248734342185050228030179878 absolute error = 1.1004974059345e-18 relative error = 9.1287822440318191686714317536390e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.208 y1[1] (analytic) = 1.9784458781847165387449147550011 y1[1] (numeric) = 1.9784458781847165336150521120605 absolute error = 5.1298626429406e-18 relative error = 2.5928748921084477219806632745494e-16 % h = 0.001 y2[1] (analytic) = 1.206503422401031513991751802823 y2[1] (numeric) = 1.2065034224010315128758389546587 absolute error = 1.1159128481643e-18 relative error = 9.2491478055118191388122779984017e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.6MB, time=12.58 NO POLE NO POLE x[1] = 0.209 y1[1] (analytic) = 1.9782388855738344187955291479752 y1[1] (numeric) = 1.9782388855738344136192966107266 absolute error = 5.1762325372486e-18 relative error = 2.6165861843055990620165093207649e-16 % h = 0.001 y2[1] (analytic) = 1.2074817648644393294466489886571 y2[1] (numeric) = 1.2074817648644393283152268167354 absolute error = 1.1314221719217e-18 relative error = 9.3700973782301521412566223715153e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.21 y1[1] (analytic) = 1.9780309147241482449161385680994 y1[1] (numeric) = 1.9780309147241482396935620728111 absolute error = 5.2225764952883e-18 relative error = 2.6402906326752879921267343239923e-16 % h = 0.001 y2[1] (analytic) = 1.2084598998460995706087124262276 y2[1] (numeric) = 1.2084598998460995694616870852425 absolute error = 1.1470253409851e-18 relative error = 9.4916293137337580063736972606877e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=194.5MB, alloc=4.6MB, time=12.83 NO POLE NO POLE x[1] = 0.211 y1[1] (analytic) = 1.9778219658436288494620133319462 y1[1] (numeric) = 1.9778219658436288441931189561972 absolute error = 5.2688943757490e-18 relative error = 2.6639881985037933892679077396241e-16 % h = 0.001 y2[1] (analytic) = 1.2094378263678773373289467081163 y2[1] (numeric) = 1.2094378263678773361662243891725 absolute error = 1.1627223189438e-18 relative error = 9.6137419683294428422510885279170e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.212 y1[1] (analytic) = 1.977612039141225095540142764105 y1[1] (numeric) = 1.9776120391412250902249567267374 absolute error = 5.3151860373676e-18 relative error = 2.6876788430534186784491761367902e-16 % h = 0.001 y2[1] (analytic) = 1.2104155434518461893234592124401 y2[1] (numeric) = 1.210415543451846188144946143242 absolute error = 1.1785130691981e-18 relative error = 9.7364337030672362521608601907462e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.213 y1[1] (analytic) = 1.9774011348268636680603895025966 y1[1] (numeric) = 1.9774011348268636626989381636686 absolute error = 5.3614513389280e-18 relative error = 2.7113625275619331343109521231793e-16 % h = 0.001 y2[1] (analytic) = 1.2113930501202891240998188928769 y2[1] (numeric) = 1.2113930501202891229054213379169 absolute error = 1.1943975549600e-18 relative error = 9.8597028837287658008536604054854e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.6MB, time=13.08 NO POLE NO POLE x[1] = 0.214 y1[1] (analytic) = 1.9771892531114488638088220829006 y1[1] (numeric) = 1.9771892531114488584011319436393 absolute error = 5.4076901392613e-18 relative error = 2.7350392132424174102121512608641e-16 % h = 0.001 y2[1] (analytic) = 1.212370345395699554673977294682 y2[1] (numeric) = 1.2123703453956995534636015554293 absolute error = 1.2103757392527e-18 relative error = 9.9835478808057735439733356856325e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.215 y1[1] (analytic) = 1.9769763942068623805434357272442 y1[1] (numeric) = 1.976976394206862375089533429998 absolute error = 5.4539022972462e-18 relative error = 2.7587088612832101007518071296869e-16 % h = 0.001 y2[1] (analytic) = 1.2133474283007822870767740798571 y2[1] (numeric) = 1.2133474283007822858503264949463 absolute error = 1.2264475849108e-18 relative error = 1.0107967069484489439362571001729e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=202.1MB, alloc=4.6MB, time=13.34 NO POLE NO POLE x[1] = 0.216 y1[1] (analytic) = 1.9767625583259631051124722434151 y1[1] (numeric) = 1.9767625583259630996123845716054 absolute error = 5.5000876718097e-18 relative error = 2.7823714328480060012208231099635e-16 % h = 0.001 y2[1] (analytic) = 1.2143242978584544976490495550473 y2[1] (numeric) = 1.214324297858454496406436500467 absolute error = 1.2426130545803e-18 relative error = 1.0232958829628417184217743651084e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.217 y1[1] (analytic) = 1.9765477456825869005955509147589 y1[1] (numeric) = 1.9765477456825868950493047928324 absolute error = 5.5462461219265e-18 relative error = 2.8060268890752966874566025152617e-16 % h = 0.001 y2[1] (analytic) = 1.2153009530918467101243869071349 y2[1] (numeric) = 1.2153009530918467088655147964161 absolute error = 1.2588721107188e-18 relative error = 1.0358521545762832849740310295720e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=205.9MB, alloc=4.6MB, time=13.59 NO POLE NO POLE x[1] = 0.218 y1[1] (analytic) = 1.976331956491546392467823240215 y1[1] (numeric) = 1.9763319564915463868754457335952 absolute error = 5.5923775066198e-18 relative error = 2.8296751910785190825349663776982e-16 % h = 0.001 y2[1] (analytic) = 1.2162773930243037724985070638692 y2[1] (numeric) = 1.2162773930243037712232823482735 absolute error = 1.2752247155957e-18 relative error = 1.0484653607059342394608150269739e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.219 y1[1] (analytic) = 1.9761151909686307537873653602166 y1[1] (numeric) = 1.9761151909686307481488836752551 absolute error = 5.6384816849615e-18 relative error = 2.8533162999459004622041421379456e-16 % h = 0.001 y2[1] (analytic) = 1.2172536166793858336843393102186 y2[1] (numeric) = 1.2172536166793858323926684789271 absolute error = 1.2916708312915e-18 relative error = 1.0611353407313104107347693599267e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=209.8MB, alloc=4.6MB, time=13.85 NO POLE NO POLE x[1] = 0.22 y1[1] (analytic) = 1.9758974493306054894060229810447 y1[1] (numeric) = 1.9758974493306054837214644649725 absolute error = 5.6845585160722e-18 relative error = 2.8769501767402021069272918370995e-16 % h = 0.001 y2[1] (analytic) = 1.218229623080869319951791005457 y2[1] (numeric) = 1.2182296230808693186435805857582 absolute error = 1.3082104196988e-18 relative error = 1.0738619344934099633492520940961e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.221 y1[1] (analytic) = 1.9756787317952122192039245867742 y1[1] (numeric) = 1.9756787317952122134733167276527 absolute error = 5.7306078591215e-18 relative error = 2.9005767824986145988013358831282e-16 % h = 0.001 y2[1] (analytic) = 1.2192054112527479111512399612945 y2[1] (numeric) = 1.2192054112527479098263965187725 absolute error = 1.3248434425220e-18 relative error = 1.0866449822927768736440790859765e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=213.6MB, alloc=4.6MB, time=14.10 NO POLE NO POLE x[1] = 0.222 y1[1] (analytic) = 1.9754590385811684603478797042797 y1[1] (numeric) = 1.9754590385811684545712501309514 absolute error = 5.7766295733283e-18 relative error = 2.9241960782326530161432894555125e-16 % h = 0.001 y2[1] (analytic) = 1.220180980219233516719773257642 y2[1] (numeric) = 1.2201809802192335153782033963649 absolute error = 1.3415698612771e-18 relative error = 1.0994843248876541124879801598585e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.223 y1[1] (analytic) = 1.975238369908167408573879962885 y1[1] (numeric) = 1.9752383699081674027512564449239 absolute error = 5.8226235179611e-18 relative error = 2.9478080249280520254149658256522e-16 % h = 0.001 y2[1] (analytic) = 1.221156329004757251469196489853 y2[1] (numeric) = 1.2211563290047572501108068525608 absolute error = 1.3583896372922e-18 relative error = 1.1123798034927173763561026981227e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.224 y1[1] (analytic) = 1.9750167259968777184939216661375 y1[1] (numeric) = 1.9750167259968777126253321137993 absolute error = 5.8685895523382e-18 relative error = 2.9714125835446102376737693403695e-16 % h = 0.001 y2[1] (analytic) = 1.2221314566339704111548376595133 y2[1] (numeric) = 1.2221314566339704097795349278062 absolute error = 1.3753027317071e-18 relative error = 1.1253312597770769420026572855506e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=217.4MB, alloc=4.6MB, time=14.35 NO POLE NO POLE x[1] = 0.225 y1[1] (analytic) = 1.9747941070689432829273695688655 y1[1] (numeric) = 1.9747941070689432770128420330377 absolute error = 5.9145275358278e-18 relative error = 2.9950097150159837892646863802632e-16 % h = 0.001 y2[1] (analytic) = 1.2231063621317454478241701400572 y2[1] (numeric) = 1.2231063621317454464318610345834 absolute error = 1.3923091054738e-18 relative error = 1.1383385358630233989554015752871e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.226 y1[1] (analytic) = 1.9745705133469830112570825281373 y1[1] (numeric) = 1.9745705133469830052966452002889 absolute error = 5.9604373278484e-18 relative error = 3.0185993802496316814299655792683e-16 % h = 0.001 y2[1] (analytic) = 1.2240810445231769449442793686679 y2[1] (numeric) = 1.2240810445231769435348706493116 absolute error = 1.4094087193563e-18 relative error = 1.1514014743242060157731866438275e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=221.2MB, alloc=4.6MB, time=14.60 NO POLE NO POLE x[1] = 0.227 y1[1] (analytic) = 1.9743459450545906068105226719777 y1[1] (numeric) = 1.9743459450545906008042038841088 absolute error = 6.0063187878689e-18 relative error = 3.0421815401266091002591331490020e-16 % h = 0.001 y2[1] (analytic) = 1.2250555028335825923071981370765 y2[1] (numeric) = 1.2250555028335825908805966031457 absolute error = 1.4266015339308e-18 relative error = 1.1645199181841448256331281498875e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.228 y1[1] (analytic) = 1.9741204024163343432660707047136 y1[1] (numeric) = 1.9741204024163343372138989293046 absolute error = 6.0521717754090e-18 relative error = 3.0657561555015125285075515090914e-16 % h = 0.001 y2[1] (analytic) = 1.2260297360885041607121355760063 y2[1] (numeric) = 1.2260297360885041592682480664208 absolute error = 1.4438875095855e-18 relative error = 1.1776937109144220679322566233509e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=225.0MB, alloc=4.6MB, time=14.85 NO POLE NO POLE x[1] = 0.229 y1[1] (analytic) = 1.9738938856577568400847709426156 y1[1] (numeric) = 1.9738938856577568339867747925764 absolute error = 6.0979961500392e-18 relative error = 3.0893231872022221409259054900933e-16 % h = 0.001 y2[1] (analytic) = 1.2270037433137084764236251511138 y2[1] (numeric) = 1.2270037433137084749623585445927 absolute error = 1.4612666065211e-18 relative error = 1.1909226964334512672823578829776e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.23 y1[1] (analytic) = 1.9736663950053748369677306480716 y1[1] (numeric) = 1.9736663950053748308239388766902 absolute error = 6.1437917713814e-18 relative error = 3.1128825960299479910568436700938e-16 % h = 0.001 y2[1] (analytic) = 1.2279775235351883954046172123601 y2[1] (numeric) = 1.2279775235351883939258784276097 absolute error = 1.4787387847504e-18 relative error = 1.2042067191045177935777204930296e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=228.8MB, alloc=4.6MB, time=15.10 NO POLE NO POLE x[1] = 0.231 y1[1] (analytic) = 1.9734379306866789673393992048733 y1[1] (numeric) = 1.9734379306866789611498407057647 absolute error = 6.1895584991086e-18 relative error = 3.1364343427588201390182797057775e-16 % h = 0.001 y2[1] (analytic) = 1.2289510757791637773235418638014 y2[1] (numeric) = 1.2289510757791637758272378597027 absolute error = 1.4963040040987e-18 relative error = 1.2175456237344782441785130508757e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.232 y1[1] (analytic) = 1.9732084929301335308569536513194 y1[1] (numeric) = 1.9732084929301335246216574583737 absolute error = 6.2352961929457e-18 relative error = 3.1599783881360359280327705807626e-16 % h = 0.001 y2[1] (analytic) = 1.2299243990720824593343681468164 y2[1] (numeric) = 1.2299243990720824578204059226128 absolute error = 1.5139622242036e-18 relative error = 1.2309392555719767220970104428763e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=232.7MB, alloc=4.6MB, time=15.36 NO POLE NO POLE x[1] = 0.233 y1[1] (analytic) = 1.9729780819651762649460180617296 y1[1] (numeric) = 1.9729780819651762586650133490602 absolute error = 6.2810047126694e-18 relative error = 3.1835146928815511657596639321508e-16 % h = 0.001 y2[1] (analytic) = 1.2308974924406212296286857567934 y2[1] (numeric) = 1.2308974924406212280969723522779 absolute error = 1.5317134045155e-18 relative error = 1.2443874603062368308939153634896e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.234 y1[1] (analytic) = 1.972746698022218115362945240631 y1[1] (numeric) = 1.9727466980222181090362613225226 absolute error = 6.3266839181084e-18 relative error = 3.2070432176879231272779748520401e-16 % h = 0.001 y2[1] (analytic) = 1.2318703549116868007588357412751 y2[1] (numeric) = 1.231870354911686799209278236978 absolute error = 1.5495575042971e-18 relative error = 1.2578900840650461936130618900409e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=236.5MB, alloc=4.6MB, time=15.61 x[1] = 0.235 y1[1] (analytic) = 1.9725143413326430057838901673172 y1[1] (numeric) = 1.9725143413326429994115564981733 absolute error = 6.3723336691439e-18 relative error = 3.2305639232203055025611096463546e-16 % h = 0.001 y2[1] (analytic) = 1.2328429855124167827311168565134 y2[1] (numeric) = 1.2328429855124167811636223738897 absolute error = 1.5674944826237e-18 relative error = 1.2714469734133980025609593142285e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.236 y1[1] (analytic) = 1.9722810121288076064209056016861 y1[1] (numeric) = 1.9722810121288076000029517759763 absolute error = 6.4179538257098e-18 relative error = 3.2540767701162911972157895765561e-16 % h = 0.001 y2[1] (analytic) = 1.2338153832701806558680944893074 y2[1] (numeric) = 1.2338153832701806542825701909239 absolute error = 1.5855242983835e-18 relative error = 1.2850579753521375842586928298909e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.237 y1[1] (analytic) = 1.9720467106440411016652912352422 y1[1] (numeric) = 1.9720467106440410952017469874498 absolute error = 6.4635442477924e-18 relative error = 3.2775817189855014432728921806352e-16 % h = 0.001 y2[1] (analytic) = 1.2347875472125807434390392818975 y2[1] (numeric) = 1.2347875472125807418353923716201 absolute error = 1.6036469102774e-18 relative error = 1.2987229373162090307864009196304e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=240.3MB, alloc=4.6MB, time=15.86 NO POLE NO POLE x[1] = 0.238 y1[1] (analytic) = 1.9718114371126449567584287438953 y1[1] (numeric) = 1.9718114371126449502493239484639 absolute error = 6.5091047954314e-18 relative error = 3.3010787304098338735606062956116e-16 % h = 0.001 y2[1] (analytic) = 1.2357594763674531840575228295574 y2[1] (numeric) = 1.2357594763674531824356605527385 absolute error = 1.6218622768189e-18 relative error = 1.3124417071729896375153460350809e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.239 y1[1] (analytic) = 1.9715751917698926834903360717 y1[1] (numeric) = 1.9715751917698926769357007429804 absolute error = 6.5546353287196e-18 relative error = 3.3245677649430513664860400159532e-16 % h = 0.001 y2[1] (analytic) = 1.2367311697628689038451980533704 y2[1] (numeric) = 1.2367311697628689022050276970358 absolute error = 1.6401703563346e-18 relative error = 1.3262141332211159609947518082237e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=244.1MB, alloc=4.6MB, time=16.12 NO POLE NO POLE x[1] = 0.24 y1[1] (analytic) = 1.9713379748520296049261752469634 y1[1] (numeric) = 1.9713379748520295983260395391598 absolute error = 6.6001357078036e-18 relative error = 3.3480487831108778296442824806928e-16 % h = 0.001 y2[1] (analytic) = 1.2377026264271345883607920844898 y2[1] (numeric) = 1.2377026264271345867022209775257 absolute error = 1.6585711069641e-18 relative error = 1.3400400641888292630929063007805e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.241 y1[1] (analytic) = 1.9710997865962726191609490041922 y1[1] (numeric) = 1.9710997865962726125153432113088 absolute error = 6.6456057928834e-18 relative error = 3.3715217454105359525953321927945e-16 % h = 0.001 y2[1] (analytic) = 1.2386738453887936542933397309712 y2[1] (numeric) = 1.2386738453887936526162752443113 absolute error = 1.6770644866599e-18 relative error = 1.3539193492323273755679429939592e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=247.9MB, alloc=4.6MB, time=16.36 NO POLE NO POLE x[1] = 0.242 y1[1] (analytic) = 1.9708606272408099621026224571645 y1[1] (numeric) = 1.9708606272408099554115770129514 absolute error = 6.6910454442131e-18 relative error = 3.3949866123108427202602568223868e-16 % h = 0.001 y2[1] (analytic) = 1.2396448256766272209186858340254 y2[1] (numeric) = 1.2396448256766272192230353808378 absolute error = 1.6956504531876e-18 relative error = 1.3678518379343649599553275173993e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.243 y1[1] (analytic) = 1.9706204970248009692839070399837 y1[1] (numeric) = 1.9706204970248009625474525178825 absolute error = 6.7364545221012e-18 relative error = 3.4184433442521019772080586247246e-16 % h = 0.001 y2[1] (analytic) = 1.2406155663196550813182850572694 y2[1] (numeric) = 1.2406155663196550796039560931434 absolute error = 1.7143289641260e-18 relative error = 1.3818373803027783868952917688003e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=251.7MB, alloc=4.6MB, time=16.62 NO POLE NO POLE x[1] = 0.244 y1[1] (analytic) = 1.9703793961883758367029449043108 y1[1] (numeric) = 1.9703793961883758299211120174004 absolute error = 6.7818328869104e-18 relative error = 3.4418919016457431192030151489812e-16 % h = 0.001 y2[1] (analytic) = 1.2415860663471366733593278902572 y2[1] (numeric) = 1.2415860663471366716262279133903 absolute error = 1.7330999768669e-18 relative error = 1.3958758267687745692474500916722e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.245 y1[1] (analytic) = 1.9701373249726353806931329320715 y1[1] (numeric) = 1.9701373249726353738659525330131 absolute error = 6.8271803990584e-18 relative error = 3.4653322448744670616566288542110e-16 % h = 0.001 y2[1] (analytic) = 1.2425563247885720504352218862454 y2[1] (numeric) = 1.2425563247885720486832584376296 absolute error = 1.7519634486158e-18 relative error = 1.4099670281859507960118421883618e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=255.5MB, alloc=4.6MB, time=16.87 x[1] = 0.246 y1[1] (analytic) = 1.9698942836196507968223264937931 y1[1] (numeric) = 1.9698942836196507899498295747756 absolute error = 6.8724969190175e-18 relative error = 3.4887643342917831090181315874954e-16 % h = 0.001 y2[1] (analytic) = 1.2435263406737028519654573937924 y2[1] (numeric) = 1.2435263406737028501945380574013 absolute error = 1.7709193363911e-18 relative error = 1.4241108358281115849847538759971e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.247 y1[1] (analytic) = 1.9696502723724634178216640533481 y1[1] (numeric) = 1.9696502723724634109038817460329 absolute error = 6.9177823073152e-18 relative error = 3.5121881302220531488266229530077e-16 % h = 0.001 y2[1] (analytic) = 1.2444961130325132736538872824077 y2[1] (numeric) = 1.2444961130325132718639196853827 absolute error = 1.7899675970250e-18 relative error = 1.4383071013884604456086618445610e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.248 y1[1] (analytic) = 1.9694052914750844705442546902599 y1[1] (numeric) = 1.9694052914750844635812182657252 absolute error = 6.9630364245347e-18 relative error = 3.5356035929604850640080886144295e-16 % h = 0.001 y2[1] (analytic) = 1.2454656408952310375044504040511 y2[1] (numeric) = 1.2454656408952310356953422168882 absolute error = 1.8091081871629e-18 relative error = 1.4525556769775897424728417324523e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=259.4MB, alloc=4.6MB, time=17.13 NO POLE NO POLE x[1] = 0.249 y1[1] (analytic) = 1.9691593411724948319539715808613 y1[1] (numeric) = 1.9691593411724948249457124495469 absolute error = 7.0082591313144e-18 relative error = 3.5590106827726182725162958523162e-16 % h = 0.001 y2[1] (analytic) = 1.2464349232923283615933687748402 y2[1] (numeric) = 1.2464349232923283597650277115763 absolute error = 1.8283410632639e-18 relative error = 1.4668564151223611595441134425538e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.25 y1[1] (analytic) = 1.9689124217106447841445954494942 y1[1] (numeric) = 1.9689124217106447770911451611452 absolute error = 7.0534502883490e-18 relative error = 3.5824093598946214752535752159240e-16 % h = 0.001 y2[1] (analytic) = 1.2474039592545229295968487048494 y2[1] (numeric) = 1.2474039592545229277491825232486 absolute error = 1.8476661816008e-18 relative error = 1.4812091687643892615065642582886e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=263.2MB, alloc=4.6MB, time=17.38 NO POLE NO POLE x[1] = 0.251 y1[1] (analytic) = 1.9686645333364537683895529705847 y1[1] (numeric) = 1.9686645333364537612909432141959 absolute error = 7.0986097563888e-18 relative error = 3.6057995845326762646190754593926e-16 % h = 0.001 y2[1] (analytic) = 1.2483727478127788600733163483794 y2[1] (numeric) = 1.2483727478127788582062328501197 absolute error = 1.8670834982597e-18 relative error = 1.4956137912582104194487200126930e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.252 y1[1] (analytic) = 1.9684156762978101382224960718362 y1[1] (numeric) = 1.9684156762978101310787586755953 absolute error = 7.1437373962409e-18 relative error = 3.6291813168633254729223324508754e-16 % h = 0.001 y2[1] (analytic) = 1.2493412879983076754992183925442 y2[1] (numeric) = 1.2493412879983076736126254234033 absolute error = 1.8865929691409e-18 relative error = 1.5100701363704995305411521943635e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=267.0MB, alloc=4.6MB, time=17.64 NO POLE NO POLE x[1] = 0.253 y1[1] (analytic) = 1.9681658508435709115489690579392 y1[1] (numeric) = 1.9681658508435709043601359891706 absolute error = 7.1888330687686e-18 relative error = 3.6525545170329071894953598818371e-16 % h = 0.001 y2[1] (analytic) = 1.2503095788425692710574188484538 y2[1] (numeric) = 1.2503095788425692691512242984954 absolute error = 1.9061945499584e-18 relative error = 1.5245780582781693901143799646015e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.254 y1[1] (analytic) = 1.9679150572235615217894114431114 y1[1] (numeric) = 1.9679150572235615145555148082193 absolute error = 7.2338966348921e-18 relative error = 3.6759191451576489065573136617991e-16 % h = 0.001 y2[1] (analytic) = 1.2512776193772728831772231566772 y2[1] (numeric) = 1.2512776193772728812513349604373 absolute error = 1.9258881962399e-18 relative error = 1.5391374115668772232169493411614e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=270.8MB, alloc=4.6MB, time=17.89 NO POLE NO POLE x[1] = 0.255 y1[1] (analytic) = 1.9676632956885755680537453494437 y1[1] (numeric) = 1.9676632956885755607748173938549 absolute error = 7.2789279555888e-18 relative error = 3.6992751613235584111480416160473e-16 % h = 0.001 y2[1] (analytic) = 1.252245408634378057825061067043 y2[1] (numeric) = 1.2522454086343780558793872037158 absolute error = 1.9456738633272e-18 relative error = 1.5537480512298563197536838261832e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.256 y1[1] (analytic) = 1.9674105664903745643477972964435 y1[1] (numeric) = 1.9674105664903745570238704045504 absolute error = 7.3239268918931e-18 relative error = 3.7226225255860604139829747818570e-16 % h = 0.001 y2[1] (analytic) = 1.2532129456460956185448600021744 y2[1] (numeric) = 1.2532129456460956165793084957982 absolute error = 1.9655515063762e-18 relative error = 1.5684098326664326620337781593302e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=274.6MB, alloc=4.6MB, time=18.15 NO POLE NO POLE x[1] = 0.257 y1[1] (analytic) = 1.967156869881687687811805175334 y1[1] (numeric) = 1.9671568698816876804429118704371 absolute error = 7.3688933048969e-18 relative error = 3.7459611979699887028832070626424e-16 % h = 0.001 y2[1] (analytic) = 1.2541802294448886342471408644664 y2[1] (numeric) = 1.2541802294448886322616197841096 absolute error = 1.9855210803568e-18 relative error = 1.5831226116804674517347299852143e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.258 y1[1] (analytic) = 1.9669022061162115259912621695806 y1[1] (numeric) = 1.9669022061162115185774351138304 absolute error = 7.4138270557502e-18 relative error = 3.7692911384696290919168873642229e-16 % h = 0.001 y2[1] (analytic) = 1.2551472590634733867458684974902 y2[1] (numeric) = 1.255147259063473384740285957437 absolute error = 2.0055825400532e-18 relative error = 1.5978862444791243004485365824360e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.259 y1[1] (analytic) = 1.9666465754486098231403503507787 y1[1] (numeric) = 1.9666465754486098156816223451182 absolute error = 7.4587280056605e-18 relative error = 3.7926123070481521895692988589464e-16 % h = 0.001 y2[1] (analytic) = 1.256114033534820338042089265054 y2[1] (numeric) = 1.2561140335348203360163534249904 absolute error = 2.0257358400636e-18 relative error = 1.6127005876711632331083371188869e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=278.4MB, alloc=4.6MB, time=18.40 NO POLE NO POLE x[1] = 0.26 y1[1] (analytic) = 1.9663899781345132255582176464501 y1[1] (numeric) = 1.9663899781345132180546216305564 absolute error = 7.5035960158937e-18 relative error = 3.8159246636378085044364082196157e-16 % h = 0.001 y2[1] (analytic) = 1.2570805518921550973533884643652 y2[1] (numeric) = 1.2570805518921550953074075295644 absolute error = 2.0459809348008e-18 relative error = 1.6275654982659572977877681468547e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.261 y1[1] (analytic) = 1.9661324144305190259583528434479 y1[1] (numeric) = 1.9661324144305190184099218956739 absolute error = 7.5484309477740e-18 relative error = 3.8392281681396150506781999642700e-16 % h = 0.001 y2[1] (analytic) = 1.2580468131689593878882005439147 y2[1] (numeric) = 1.2580468131689593858218827654228 absolute error = 2.0663177784919e-18 relative error = 1.6424808336717971111975718117152e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=282.2MB, alloc=4.6MB, time=18.66 NO POLE NO POLE x[1] = 0.262 y1[1] (analytic) = 1.9658738845941909068713142575752 y1[1] (numeric) = 1.9658738845941908992780815948906 absolute error = 7.5932326626846e-18 relative error = 3.8625227804234486113601989522027e-16 % h = 0.001 y2[1] (analytic) = 1.2590128163989720133640053518554 y2[1] (numeric) = 1.2590128163989720112772590266773 absolute error = 2.0867463251781e-18 relative error = 1.6574464516942814441727699559806e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.263 y1[1] (analytic) = 1.9656143888840586830810686666656 y1[1] (numeric) = 1.9656143888840586754430676445985 absolute error = 7.6380010220671e-18 relative error = 3.8858084603274776648906046957916e-16 % h = 0.001 y2[1] (analytic) = 1.2599785606161898242684438967593 y2[1] (numeric) = 1.2599785606161898221611773680435 absolute error = 2.1072665287158e-18 relative error = 1.6724622105357457863365274923644e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=286.1MB, alloc=4.6MB, time=18.92 NO POLE NO POLE x[1] = 0.264 y1[1] (analytic) = 1.9653539275596180430951980707674 y1[1] (numeric) = 1.965353927559618035412462183345 absolute error = 7.6827358874224e-18 relative error = 3.9090851676583570426715136752864e-16 % h = 0.001 y2[1] (analytic) = 1.2609440448548686838623873597158 y2[1] (numeric) = 1.2609440448548686817345090169403 absolute error = 2.1278783427755e-18 relative error = 1.6875279687929476324462538706506e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.265 y1[1] (analytic) = 1.9650925008813302896492328092017 y1[1] (numeric) = 1.9650925008813302819217956888907 absolute error = 7.7274371203110e-18 relative error = 3.9323528621911173713003906220324e-16 % h = 0.001 y2[1] (analytic) = 1.2619092681495244339239933547858 y2[1] (numeric) = 1.2619092681495244317754116339434 absolute error = 2.1485817208424e-18 relative error = 1.7026435854561083877469049449960e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=289.9MB, alloc=4.6MB, time=19.17 NO POLE NO POLE x[1] = 0.266 y1[1] (analytic) = 1.9648301091106220792453705301393 y1[1] (numeric) = 1.9648301091106220714732659477868 absolute error = 7.7721045823525e-18 relative error = 3.9556115036686472269329763334560e-16 % h = 0.001 y2[1] (analytic) = 1.2628742295349338602327836938334 y2[1] (numeric) = 1.2628742295349338580634070776167 absolute error = 2.1693766162167e-18 relative error = 1.7178089199077209479832168495509e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.267 y1[1] (analytic) = 1.9645667525098851607258414739579 y1[1] (numeric) = 1.9645667525098851529091033387309 absolute error = 7.8167381352270e-18 relative error = 3.9788610518021419681931348208480e-16 % h = 0.001 y2[1] (analytic) = 1.2638389280461356577927781717389 y2[1] (numeric) = 1.2638389280461356556025151897257 absolute error = 2.1902629820132e-18 relative error = 1.7330238319208077166806279122383e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=293.7MB, alloc=4.6MB, time=19.42 NO POLE NO POLE x[1] = 0.268 y1[1] (analytic) = 1.9643024313424761128811814969892 y1[1] (numeric) = 1.9643024313424761050198438563153 absolute error = 7.8613376406739e-18 relative error = 4.0021014662702292641390591340761e-16 % h = 0.001 y2[1] (analytic) = 1.2648033627184313957937191489395 y2[1] (numeric) = 1.2648033627184313935824783777779 absolute error = 2.2112407711616e-18 relative error = 1.7482881816577388900093447324806e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.269 y1[1] (analytic) = 1.9640371458727160810936752273647 y1[1] (numeric) = 1.9640371458727160731877722668715 absolute error = 7.9059029604932e-18 relative error = 4.0253327067193667638570440145746e-16 % h = 0.001 y2[1] (analytic) = 1.265767532587386482309421970154 y2[1] (numeric) = 1.2657675325873864800771120337473 absolute error = 2.2323099364067e-18 relative error = 1.7636018296689759973052301452911e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.27 y1[1] (analytic) = 1.9637708963658905130162327094922 y1[1] (numeric) = 1.9637708963658905050657987529466 absolute error = 7.9504339565456e-18 relative error = 4.0485547327636289767351857490409e-16 % h = 0.001 y2[1] (analytic) = 1.2667314366888311287322865210205 y2[1] (numeric) = 1.2667314366888311264788160907123 absolute error = 2.2534704303082e-18 relative error = 1.7789646368915042708351976784257e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=297.5MB, alloc=4.6MB, time=19.68 NO POLE NO POLE x[1] = 0.271 y1[1] (analytic) = 1.9635036830882488932869638582654 y1[1] (numeric) = 1.9635036830882488852920333675131 absolute error = 7.9949304907523e-18 relative error = 4.0717675039843411508648332345393e-16 % h = 0.001 y2[1] (analytic) = 1.267695074058861313943005488217 y2[1] (numeric) = 1.2676950740588613116682832829759 absolute error = 2.2747222052411e-18 relative error = 1.7943764646477443388585959210221e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.272 y1[1] (analytic) = 1.9632355063070044772797160084106 y1[1] (numeric) = 1.9632355063070044692403235833151 absolute error = 8.0393924250955e-18 relative error = 4.0949709799300693652139778593101e-16 % h = 0.001 y2[1] (analytic) = 1.2686584437338397482145051534362 y2[1] (numeric) = 1.2686584437338397459184399400408 absolute error = 2.2960652133954e-18 relative error = 1.8098371746439159932742096581160e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=301.3MB, alloc=4.6MB, time=19.94 NO POLE NO POLE x[1] = 0.273 y1[1] (analytic) = 1.9629663662903340238908408084099 y1[1] (numeric) = 1.9629663662903340158070211867911 absolute error = 8.0838196216188e-18 relative error = 4.1181651201165596281182799794742e-16 % h = 0.001 y2[1] (analytic) = 1.2696215447503968368491548173544 y2[1] (numeric) = 1.2696215447503968345316554105781 absolute error = 2.3174994067763e-18 relative error = 1.8253466289688021105827604561963e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.274 y1[1] (analytic) = 1.9626962633073775273624576722117 y1[1] (numeric) = 1.9626962633073775192342457297848 absolute error = 8.1282119424269e-18 relative error = 4.1413498840263202318560632249207e-16 % h = 0.001 y2[1] (analytic) = 1.2705843761454316435482812164654 y2[1] (numeric) = 1.270584376145431641209256479261 absolute error = 2.3390247372044e-18 relative error = 1.8409046900925170870384651693101e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=305.1MB, alloc=4.6MB, time=20.20 NO POLE NO POLE x[1] = 0.275 y1[1] (analytic) = 1.9624251976282379481424819654439 y1[1] (numeric) = 1.9624251976282379399699127157575 absolute error = 8.1725692496864e-18 relative error = 4.1645252311087642510639015414287e-16 % h = 0.001 y2[1] (analytic) = 1.2715469369561128535130245633453 y2[1] (numeric) = 1.2715469369561128511523834070293 absolute error = 2.3606411563160e-18 relative error = 1.8565112208653584133519340100179e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.276 y1[1] (analytic) = 1.9621531695239809427816870660775 y1[1] (numeric) = 1.9621531695239809345647956604517 absolute error = 8.2168914056258e-18 relative error = 4.1876911207799444011983882855127e-16 % h = 0.001 y2[1] (analytic) = 1.2725092262198797362755731095714 y2[1] (numeric) = 1.272509226219879733893224494009 absolute error = 2.3823486155624e-18 relative error = 1.8721660845158765199181170836145e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=308.9MB, alloc=4.6MB, time=20.45 NO POLE NO POLE x[1] = 0.277 y1[1] (analytic) = 1.9618801792666345928680704024572 y1[1] (numeric) = 1.9618801792666345846068921299216 absolute error = 8.2611782725356e-18 relative error = 4.2108475124223386059785166519666e-16 % h = 0.001 y2[1] (analytic) = 1.2734712429744431082598134001431 y2[1] (numeric) = 1.2734712429744431058556663339323 absolute error = 2.4041470662108e-18 relative error = 1.8878691446502086952500301256549e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.278 y1[1] (analytic) = 1.9616062271291891329987945343101 y1[1] (numeric) = 1.9616062271291891246933648215413 absolute error = 8.3054297127688e-18 relative error = 4.2339943653848392574531480317961e-16 % h = 0.001 y2[1] (analytic) = 1.2744329862577862950704336588324 y2[1] (numeric) = 1.2744329862577862926443971994884 absolute error = 2.4260364593440e-18 relative error = 1.9036202652504733462698401065709e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=312.8MB, alloc=4.6MB, time=20.70 NO POLE NO POLE x[1] = 0.279 y1[1] (analytic) = 1.9613313133855966777899753047686 y1[1] (numeric) = 1.9613313133855966694403297160277 absolute error = 8.3496455887409e-18 relative error = 4.2571316389824874952647841077356e-16 % h = 0.001 y2[1] (analytic) = 1.2753944551081660935095180154422 y2[1] (numeric) = 1.2753944551081660910615012695819 absolute error = 2.4480167458603e-18 relative error = 1.9194193106733272659223959636543e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.28 y1[1] (analytic) = 1.9610554383107709479245900535965 y1[1] (numeric) = 1.9610554383107709395307642906663 absolute error = 8.3938257629302e-18 relative error = 4.2802592924963601984146819302869e-16 % h = 0.001 y2[1] (analytic) = 1.2763556485641137333196695584578 y2[1] (numeric) = 1.2763556485641137308495816819839 absolute error = 2.4700878764739e-18 relative error = 1.9352661456489200959847363036524e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.281 y1[1] (analytic) = 1.9607786021805869952387798436879 y1[1] (numeric) = 1.9607786021805869868008097458098 absolute error = 8.4379700978781e-18 relative error = 4.3033772851734568381890713943774e-16 % h = 0.001 y2[1] (analytic) = 1.2773165656644358386527004700495 y2[1] (numeric) = 1.2773165656644358361604506683343 absolute error = 2.4922498017152e-18 relative error = 1.9511606352797741622897902574677e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=316.6MB, alloc=4.6MB, time=20.95 NO POLE NO POLE x[1] = 0.282 y1[1] (analytic) = 1.9605008052718809268468206145129 y1[1] (numeric) = 1.9605008052718809183647421583235 absolute error = 8.4820784561894e-18 relative error = 4.3264855762265861918613774739034e-16 % h = 0.001 y2[1] (analytic) = 1.2782772054482153892629277748141 y2[1] (numeric) = 1.2782772054482153867484253028842 absolute error = 2.5145024719299e-18 relative error = 1.9671026450387295471124598476152e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.283 y1[1] (analytic) = 1.9602220478624496283050391375165 y1[1] (numeric) = 1.9602220478624496197788884369842 absolute error = 8.5261507005323e-18 relative error = 4.3495841248340998728983949709189e-16 % h = 0.001 y2[1] (analytic) = 1.2792375669548126814241135090431 y2[1] (numeric) = 1.279237566954812678887267671763 absolute error = 2.5368458372801e-18 relative error = 1.9830920407684608060071998490756e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=320.4MB, alloc=4.6MB, time=21.21 NO POLE NO POLE x[1] = 0.284 y1[1] (analytic) = 1.9599423302310504858149506095312 y1[1] (numeric) = 1.9599423302310504772447639158926 absolute error = 8.5701866936386e-18 relative error = 4.3726728901397276339367351565447e-16 % h = 0.001 y2[1] (analytic) = 1.2801976492238662885690883936544 y2[1] (numeric) = 1.2801976492238662860098085459103 absolute error = 2.5592798477441e-18 relative error = 1.9991286886799793522298715519281e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.285 y1[1] (analytic) = 1.959661652657401107465895681044 y1[1] (numeric) = 1.9596616526574010988517093827395 absolute error = 8.6141862983045e-18 relative error = 4.3957518312527186596134013461262e-16 % h = 0.001 y2[1] (analytic) = 1.2811574512952940216510983712452 y2[1] (numeric) = 1.2811574512952940190692939181291 absolute error = 2.5818044531161e-18 relative error = 2.0152124553510634888997729821925e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=324.2MB, alloc=4.6MB, time=21.46 NO POLE NO POLE x[1] = 0.286 y1[1] (analytic) = 1.9593800154221790435174556766546 y1[1] (numeric) = 1.9593800154221790348593062992647 absolute error = 8.6581493773899e-18 relative error = 4.4188209072472173887633706602973e-16 % h = 0.001 y2[1] (analytic) = 1.2821169722092938892259136459998 y2[1] (numeric) = 1.282116972209293886621494042993 absolute error = 2.6044196030068e-18 relative error = 2.0313432077253964310695582825032e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.287 y1[1] (analytic) = 1.9590974188070215057219257252902 y1[1] (numeric) = 1.9590974188070214970198499314707 absolute error = 8.7020757938195e-18 relative error = 4.4418800771625575445947778715077e-16 % h = 0.001 y2[1] (analytic) = 1.2830762110063450572537401444227 y2[1] (numeric) = 1.2830762110063450546266148975798 absolute error = 2.6271252468429e-18 relative error = 2.0475208131108498614448920551949e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=328.0MB, alloc=4.6MB, time=21.72 NO POLE NO POLE x[1] = 0.288 y1[1] (analytic) = 1.9588138630945250856871264776764 y1[1] (numeric) = 1.958813863094525076941161067094 absolute error = 8.7459654105824e-18 relative error = 4.4649293000027906047805393619786e-16 % h = 0.001 y2[1] (analytic) = 1.2840351667272088086199735950659 y2[1] (numeric) = 1.2840351667272088059700522611981 absolute error = 2.6499213338678e-18 relative error = 2.0637451391787087208502431614049e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.289 y1[1] (analytic) = 1.9585293485682454722798360482323 y1[1] (numeric) = 1.9585293485682454634900179574994 absolute error = 8.7898180907329e-18 relative error = 4.4879685347368265223470259878256e-16 % h = 0.001 y2[1] (analytic) = 1.284993838412929502373836706576 y2[1] (numeric) = 1.2849938384129294997010288934347 absolute error = 2.6728078131413e-18 relative error = 2.0800160539621202494107448064730e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=331.8MB, alloc=4.6MB, time=21.97 NO POLE NO POLE x[1] = 0.29 y1[1] (analytic) = 1.9582438755126971680701247779319 y1[1] (numeric) = 1.9582438755126971592364910805417 absolute error = 8.8336336973902e-18 relative error = 4.5109977402980127964799464256858e-16 % h = 0.001 y2[1] (analytic) = 1.2859522251048355326839402055044 y2[1] (numeric) = 1.2859522251048355299881555719645 absolute error = 2.6957846335399e-18 relative error = 2.0963334258550155458670637443749e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.291 y1[1] (analytic) = 1.9579574442133532048168763737751 y1[1] (numeric) = 1.9579574442133531959394642800362 absolute error = 8.8774120937389e-18 relative error = 4.5340168755841217195016456116888e-16 % h = 0.001 y2[1] (analytic) = 1.286910325844540287509808778398 y2[1] (numeric) = 1.2869103258445402847909570346417 absolute error = 2.7188517437563e-18 relative error = 2.1126971236104133081727474125397e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.292 y1[1] (analytic) = 1.9576700549566448579947799393226 y1[1] (numeric) = 1.9576700549566448490736267962934 absolute error = 8.9211531430292e-18 relative error = 4.5570258994571843236333468363620e-16 % h = 0.001 y2[1] (analytic) = 1.287868139673943106988413246727 y2[1] (numeric) = 1.2878681396739431042464041544266 absolute error = 2.7420090923004e-18 relative error = 2.1291070163398948735830640178095e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=335.6MB, alloc=4.6MB, time=22.22 NO POLE NO POLE x[1] = 0.293 y1[1] (analytic) = 1.9573817080299613603630783692788 y1[1] (numeric) = 1.9573817080299613513982216607016 absolute error = 8.9648567085772e-18 relative error = 4.5800247707433752248858413988275e-16 % h = 0.001 y2[1] (analytic) = 1.2888256656352302415347505881947 y2[1] (numeric) = 1.2888256656352302387694939606959 absolute error = 2.7652566274988e-18 relative error = 2.1455629735119167681286106549682e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.294 y1[1] (analytic) = 1.9570924037216496145763595393507 y1[1] (numeric) = 1.9570924037216496055678368855858 absolute error = 9.0085226537649e-18 relative error = 4.6030134482327440311427342335438e-16 % h = 0.001 y2[1] (analytic) = 1.2897829027708758096555137039305 y2[1] (numeric) = 1.2897829027708758068669194064358 absolute error = 2.7885942974947e-18 relative error = 2.1620648649504399281481487089222e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=339.5MB, alloc=4.6MB, time=22.48 NO POLE NO POLE x[1] = 0.295 y1[1] (analytic) = 1.956802142321013904837677680568 y1[1] (numeric) = 1.9568021423210138957855268385274 absolute error = 9.0521508420406e-18 relative error = 4.6259918906791508813800421559701e-16 % h = 0.001 y2[1] (analytic) = 1.2907398501236427554748931179768 y2[1] (numeric) = 1.2907398501236427526628710677281 absolute error = 2.8120220502487e-18 relative error = 2.1786125608342613268399815185698e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.296 y1[1] (analytic) = 1.9565109241183156075942932849186 y1[1] (numeric) = 1.9565109241183155984985521479993 absolute error = 9.0957411369193e-18 relative error = 4.6489600568002018813149667305811e-16 % h = 0.001 y2[1] (analytic) = 1.291696506736583805971553083346 y2[1] (numeric) = 1.2916965067365838031360132498077 absolute error = 2.8355398335383e-18 relative error = 2.1952059316953411809728286132159e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=343.3MB, alloc=4.6MB, time=22.73 NO POLE NO POLE x[1] = 0.297 y1[1] (analytic) = 1.9562187494047729012763208465347 y1[1] (numeric) = 1.9562187494047728921370274445522 absolute error = 9.1392934019825e-18 relative error = 4.6719179052768777214885423255516e-16 % h = 0.001 y2[1] (analytic) = 1.2926528716530424279258248577527 y2[1] (numeric) = 1.292652871653042425066677262795 absolute error = 2.8591475949577e-18 relative error = 2.2118448484173687105780570274486e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.298 y1[1] (analytic) = 1.9559256184725604750785746997598 y1[1] (numeric) = 1.955925618472560465895767198881 absolute error = 9.1828075008788e-18 relative error = 4.6948653947535709298252528817025e-16 % h = 0.001 y2[1] (analytic) = 1.2936089439166537845761602019079 y2[1] (numeric) = 1.293608943916653781693314919989 absolute error = 2.8828452819189e-18 relative error = 2.2285291822353382501821199846608e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=347.1MB, alloc=4.6MB, time=22.98 NO POLE NO POLE x[1] = 0.299 y1[1] (analytic) = 1.9556315316148092367859041722236 y1[1] (numeric) = 1.9556315316148092275596208748997 absolute error = 9.2262832973239e-18 relative error = 4.7178024838378163046733107485576e-16 % h = 0.001 y2[1] (analytic) = 1.2945647225713456919838884439998 y2[1] (numeric) = 1.2945647225713456890772556023488 absolute error = 2.9066328416510e-18 relative error = 2.2452588047337358653331860369075e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3 y1[1] (analytic) = 1.955336489125606019642310227568 y1[1] (numeric) = 1.9553364891256060103725895724672 absolute error = 9.2697206551008e-18 relative error = 4.7407291311001233423206299146228e-16 % h = 0.001 y2[1] (analytic) = 1.295520206661339575105320745685 y2[1] (numeric) = 1.2955202066613395721748105244847 absolute error = 2.9305102212003e-18 relative error = 2.2620335878453505711978000776019e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=350.9MB, alloc=4.6MB, time=23.23 NO POLE NO POLE x[1] = 0.301 y1[1] (analytic) = 1.9550404912999932882641367286816 y1[1] (numeric) = 1.9550404912999932789510172906209 absolute error = 9.3131194380607e-18 relative error = 4.7636452950741665144400924321486e-16 % h = 0.001 y2[1] (analytic) = 1.2964753952311514235702454975658 y2[1] (numeric) = 1.2964753952311514206157681301351 absolute error = 2.9544773674307e-18 relative error = 2.2788534038503212716906969652774e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.302 y1[1] (analytic) = 1.9547435384339688435976304082261 y1[1] (numeric) = 1.9547435384339688342411508981042 absolute error = 9.3564795101219e-18 relative error = 4.7865509342559525198644175439945e-16 % h = 0.001 y2[1] (analytic) = 1.2974302873255927471658590657366 y2[1] (numeric) = 1.2974302873255927441873248387129 absolute error = 2.9785342270237e-18 relative error = 2.2957181253748786803531257338398e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=354.7MB, alloc=4.6MB, time=23.48 x[1] = 0.303 y1[1] (analytic) = 1.9544456308244855269211645888734 y1[1] (numeric) = 1.9544456308244855175213638536019 absolute error = 9.3998007352715e-18 relative error = 4.8094460071044193614296764612602e-16 % h = 0.001 y2[1] (analytic) = 1.2983848819897715310251764055494 y2[1] (numeric) = 1.2983848819897715280224956590712 absolute error = 3.0026807464782e-18 relative error = 2.3126276253899378350252702195865e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.304 y1[1] (analytic) = 1.9541467687694509228924226510006 y1[1] (numeric) = 1.9541467687694509134493396734361 absolute error = 9.4430829775645e-18 relative error = 4.8323304720407054187892517721129e-16 % h = 0.001 y2[1] (analytic) = 1.2993391782690931905189663542671 y2[1] (numeric) = 1.2993391782690931874920494821561 absolute error = 3.0269168721110e-18 relative error = 2.3295817772102346374378731300577e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.305 y1[1] (analytic) = 1.9538469525677270616408382006383 y1[1] (numeric) = 1.9538469525677270521545120995137 absolute error = 9.4863261011246e-18 relative error = 4.8552042874482878821825876318008e-16 % h = 0.001 y2[1] (analytic) = 1.3002931752092615258502567107484 y2[1] (numeric) = 1.3002931752092615227990141606917 absolute error = 3.0512425500567e-18 relative error = 2.3465804544930038516601497454042e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=358.5MB, alloc=4.6MB, time=23.74 NO POLE NO POLE x[1] = 0.306 y1[1] (analytic) = 1.9535461825191301199055898452054 y1[1] (numeric) = 1.953546182519130110376059875061 absolute error = 9.5295299701444e-18 relative error = 4.8780674116728141314402475173440e-16 % h = 0.001 y2[1] (analytic) = 1.3012468718562796763504545077395 y2[1] (numeric) = 1.3012468718562796732747967814719 absolute error = 3.0756577262676e-18 relative error = 2.3636235312366620151191530890154e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.307 y1[1] (analytic) = 1.9532444589244301212194494390108 y1[1] (numeric) = 1.9532444589244301116467549901253 absolute error = 9.5726944488855e-18 relative error = 4.9009198030218817149234075129861e-16 % h = 0.001 y2[1] (analytic) = 1.3022002672564510744761271807312 y2[1] (numeric) = 1.3022002672564510713759648342171 absolute error = 3.1001623465141e-18 relative error = 2.3807108817798792052855121906808e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=362.4MB, alloc=4.6MB, time=23.99 NO POLE NO POLE x[1] = 0.308 y1[1] (analytic) = 1.9529417820853506351387836146492 y1[1] (numeric) = 1.9529417820853506255229642129708 absolute error = 9.6158194016784e-18 relative error = 4.9237614197647156670598809277341e-16 % h = 0.001 y2[1] (analytic) = 1.30315336045638039950549063668 y2[1] (numeric) = 1.3031533604563803963807342802955 absolute error = 3.1247563563845e-18 relative error = 2.3978423808001935676236992157252e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.309 y1[1] (analytic) = 1.9526381523045684755200093702652 y1[1] (numeric) = 1.9526381523045684658611046773416 absolute error = 9.6589046929236e-18 relative error = 4.9465922201324600301546899434276e-16 % h = 0.001 y2[1] (analytic) = 1.3041061505029745309336505261852 y2[1] (numeric) = 1.3041061505029745277842108248999 absolute error = 3.1494397012853e-18 relative error = 2.4150179033130144374250273908133e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=366.2MB, alloc=4.6MB, time=24.25 NO POLE NO POLE x[1] = 0.31 y1[1] (analytic) = 1.9523335698857133978428054362022 y1[1] (numeric) = 1.9523335698857133881408552491113 absolute error = 9.7019501870909e-18 relative error = 4.9694121623175476262234785730603e-16 % h = 0.001 y2[1] (analytic) = 1.305058636443443501565643323959 y2[1] (numeric) = 1.3050586364434434983914309975177 absolute error = 3.1742123264413e-18 relative error = 2.4322373246704756981581874150286e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.311 y1[1] (analytic) = 1.9520280351333677955803820978034 y1[1] (numeric) = 1.9520280351333677858354263490831 absolute error = 9.7449557487203e-18 relative error = 4.9922212044738888511453563695854e-16 % h = 0.001 y2[1] (analytic) = 1.3060108173253014503063241246284 y2[1] (numeric) = 1.3060108173253014471072499477331 absolute error = 3.1990741768953e-18 relative error = 2.4495005205599870067046621651377e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=370.0MB, alloc=4.6MB, time=24.50 NO POLE NO POLE x[1] = 0.312 y1[1] (analytic) = 1.9517215483530663956171131040662 y1[1] (numeric) = 1.9517215483530663858291918616444 absolute error = 9.7879212424218e-18 relative error = 5.0150193047164969918821154399441e-16 % h = 0.001 y2[1] (analytic) = 1.3069626921963675746461483640617 y2[1] (numeric) = 1.3069626921963675714221231665528 absolute error = 3.2240251975089e-18 relative error = 2.4668073670036321283318204810136e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.313 y1[1] (analytic) = 1.9514141098512959527138342444951 y1[1] (numeric) = 1.9514141098512959428829877116192 absolute error = 9.8308465328759e-18 relative error = 5.0378064211214718562555627027876e-16 % h = 0.001 y2[1] (analytic) = 1.3079142601047670828418949805147 y2[1] (numeric) = 1.3079142601047670795928296475529 absolute error = 3.2490653329618e-18 relative error = 2.4841577403564221711473228197359e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=373.8MB, alloc=4.6MB, time=24.76 x[1] = 0.314 y1[1] (analytic) = 1.9511057199354949430211141288279 y1[1] (numeric) = 1.9511057199354949331473826439942 absolute error = 9.8737314848337e-18 relative error = 5.0605825117257783259767311369420e-16 % h = 0.001 y2[1] (analytic) = 1.3088655200989321457913788349557 y2[1] (numeric) = 1.3088655200989321425171843072033 absolute error = 3.2741945277524e-18 relative error = 2.5015515173055488088533973380176e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.315 y1[1] (analytic) = 1.9507963789140532566408036563392 y1[1] (numeric) = 1.9507963789140532467242276932221 absolute error = 9.9165759631171e-18 relative error = 5.0833475345270759116759679344687e-16 % h = 0.001 y2[1] (analytic) = 1.309816471227602848601200515934 y2[1] (numeric) = 1.3098164712276028453017877897362 absolute error = 3.2994127261978e-18 relative error = 2.5189885748691818250664644133505e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.316 y1[1] (analytic) = 1.9504860870963118892361716131461 y1[1] (numeric) = 1.9504860870963118792767917805271 absolute error = 9.9593798326190e-18 relative error = 5.1061014474835480961630201931793e-16 % h = 0.001 y2[1] (analytic) = 1.3107671125398281418465819613222 y2[1] (numeric) = 1.3107671125398281385218620888886 absolute error = 3.3247198724336e-18 relative error = 2.5364687903951184625306313159100e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=377.6MB, alloc=4.6MB, time=25.01 NO POLE NO POLE x[1] = 0.317 y1[1] (analytic) = 1.9501748447925626326909347873552 y1[1] (numeric) = 1.9501748447925626226887918290514 absolute error = 1.00021429583038e-17 relative error = 5.1288442085138852972705976396348e-16 % h = 0.001 y2[1] (analytic) = 1.3117174430849667925223366371764 y2[1] (numeric) = 1.3117174430849667891722207267621 absolute error = 3.3501159104143e-18 relative error = 2.5539920415598952190659260852843e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.318 y1[1] (analytic) = 1.9498626523140477648174919429938 y1[1] (numeric) = 1.9498626523140477547726267377865 absolute error = 1.00448652052073e-17 relative error = 5.1515757754969600507109164410448e-16 % h = 0.001 y2[1] (analytic) = 1.3126674619126883346840233228225 y2[1] (numeric) = 1.312667461912688331308422538909 absolute error = 3.3756007839135e-18 relative error = 2.5715582063677503034313303474825e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=381.4MB, alloc=4.6MB, time=25.26 NO POLE NO POLE x[1] = 0.319 y1[1] (analytic) = 1.9495495099729597381146719444671 y1[1] (numeric) = 1.94954950997295972802712550603 absolute error = 1.00875464384371e-17 relative error = 5.1742961062717583006064932364269e-16 % h = 0.001 y2[1] (analytic) = 1.3136171680729740197783328610944 y2[1] (numeric) = 1.313617168072974016377158424571 absolute error = 3.4011744365234e-18 relative error = 2.5891671631490568827789183836691e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.32 y1[1] (analytic) = 1.9492354180824408675753072737661 y1[1] (numeric) = 1.9492354180824408574451207505934 absolute error = 1.01301865231727e-17 relative error = 5.1970051586371566668960482619357e-16 % h = 0.001 y2[1] (analytic) = 1.3145665606161177666617575434172 y2[1] (numeric) = 1.3145665606161177632349207317616 absolute error = 3.4268368116556e-18 relative error = 2.6068187905597512146272929635099e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=385.2MB, alloc=4.6MB, time=25.52 NO POLE NO POLE x[1] = 0.321 y1[1] (analytic) = 1.9489203769565830175439451328269 y1[1] (numeric) = 1.948920376956583007371159808161 absolute error = 1.01727853246659e-17 relative error = 5.2197028903518533783672504031383e-16 % h = 0.001 y2[1] (analytic) = 1.3155156385927271113065931111435 y2[1] (numeric) = 1.3155156385927271078540052586029 absolute error = 3.4525878525406e-18 relative error = 2.6245129675797742285293503774562e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.322 y1[1] (analytic) = 1.9486043869104272876250092733052 y1[1] (numeric) = 1.9486043869104272774096665650643 absolute error = 1.02153427082409e-17 relative error = 5.2423892591341451317722828821457e-16 % h = 0.001 y2[1] (analytic) = 1.3164644010537241561933236672222 y2[1] (numeric) = 1.3164644010537241527148961649938 absolute error = 3.4784275022284e-18 relative error = 2.6422495735123546050303561653274e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=389.1MB, alloc=4.6MB, time=25.77 NO POLE NO POLE x[1] = 0.323 y1[1] (analytic) = 1.948287448259963697641726645576 y1[1] (numeric) = 1.9482874482599636873838681062815 absolute error = 1.02578585392945e-17 relative error = 5.2650642226617550103703624459448e-16 % h = 0.001 y2[1] (analytic) = 1.3174128470503465193884401058919 y2[1] (numeric) = 1.3174128470503465158840844023038 absolute error = 3.5043557035881e-18 relative error = 2.6600284879825350785849625758587e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.324 y1[1] (analytic) = 1.9479695613221308716461339080079 y1[1] (numeric) = 1.9479695613221308613458012247114 absolute error = 1.03003326832965e-17 relative error = 5.2877277385717628544332462223165e-16 % h = 0.001 y2[1] (analytic) = 1.3183609756341482833067429826609 y2[1] (numeric) = 1.3183609756341482797763705833526 absolute error = 3.5303723993083e-18 relative error = 2.6778495909363111108124801525495e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=392.9MB, alloc=4.6MB, time=26.03 NO POLE NO POLE x[1] = 0.325 y1[1] (analytic) = 1.9476507264148157209804797864775 y1[1] (numeric) = 1.9476507264148157106377147806876 absolute error = 1.03427650057899e-17 relative error = 5.3103797644604328247123273625051e-16 % h = 0.001 y2[1] (analytic) = 1.3193087858570009431571810623496 y2[1] (numeric) = 1.3193087858570009396007035304524 absolute error = 3.5564775318972e-18 relative error = 2.6957127626395450856768604755882e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.326 y1[1] (analytic) = 1.9473309438568531263903402226954 y1[1] (numeric) = 1.9473309438568531160051848503047 absolute error = 1.03851553723907e-17 relative error = 5.3330202578828353362893561771211e-16 % h = 0.001 y2[1] (analytic) = 1.3202562767710943550712770994355 y2[1] (numeric) = 1.3202562767710943514886060557529 absolute error = 3.5826710436826e-18 relative error = 2.7136178836768086441395923334842e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.327 y1[1] (analytic) = 1.9470102139680256191897641982033 y1[1] (numeric) = 1.9470102139680256087622605494144 absolute error = 1.04275036487889e-17 relative error = 5.3556491763530848977101150714538e-16 % h = 0.001 y2[1] (analytic) = 1.3212034474289376839131927223542 y2[1] (numeric) = 1.3212034474289376803042398455425 absolute error = 3.6089528768117e-18 relative error = 2.7315648349500778332724037054464e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=396.7MB, alloc=4.6MB, time=26.29 NO POLE NO POLE x[1] = 0.328 y1[1] (analytic) = 1.9466885370690630614787690688678 y1[1] (numeric) = 1.9466885370690630510089593681199 absolute error = 1.04698097007479e-17 relative error = 5.3782664773437562249466337780087e-16 % h = 0.001 y2[1] (analytic) = 1.3221502968833603507704846117713 y2[1] (numeric) = 1.3221502968833603471351616385196 absolute error = 3.6353229732517e-18 relative error = 2.7495534976780381538627401024971e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.329 y1[1] (analytic) = 1.9463659134816423254135051923513 y1[1] (numeric) = 1.9463659134816423149014317982459 absolute error = 1.05120733941054e-17 relative error = 5.4008721182860703919899224915945e-16 % h = 0.001 y2[1] (analytic) = 1.3230968241875129801246044821466 y2[1] (numeric) = 1.3230968241875129764628232073568 absolute error = 3.6617812747898e-18 relative error = 2.7675837533949383304214451476586e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=400.5MB, alloc=4.6MB, time=26.54 NO POLE NO POLE x[1] = 0.33 y1[1] (analytic) = 1.9460423435283869715294105783662 y1[1] (numeric) = 1.946042343528386960975115983593 absolute error = 1.05542945947732e-17 relative error = 5.4234660565695158644226265737032e-16 % h = 0.001 y2[1] (analytic) = 1.3240430283948683467001956961702 y2[1] (numeric) = 1.3240430283948683430118679731373 absolute error = 3.6883277230329e-18 relative error = 2.7856554839492216446130762151712e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.331 y1[1] (analytic) = 1.9457178275328669261176772385331 y1[1] (numeric) = 1.9457178275328669155212040697954 absolute error = 1.05964731687377e-17 relative error = 5.4460482495418288675514555091784e-16 % h = 0.001 y2[1] (analytic) = 1.3249889085592223219922396628531 y2[1] (numeric) = 1.3249889085592223182772774034451 absolute error = 3.7149622594080e-18 relative error = 2.8037685715026906694040041609200e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=404.3MB, alloc=4.6MB, time=26.80 NO POLE NO POLE x[1] = 0.332 y1[1] (analytic) = 1.9453923658195981576553518593481 y1[1] (numeric) = 1.9453923658195981470167428772883 absolute error = 1.06386089820598e-17 relative error = 5.4686186545086652613880330551922e-16 % h = 0.001 y2[1] (analytic) = 1.3259344637346948204701054922043 y2[1] (numeric) = 1.3259344637346948167284206670421 absolute error = 3.7416848251622e-18 relative error = 2.8219228985293731389229925188319e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.333 y1[1] (analytic) = 1.9450659587140423522893943681328 y1[1] (numeric) = 1.9450659587140423416086924672573 absolute error = 1.06807019008755e-17 relative error = 5.4911772287336319186956228241478e-16 % h = 0.001 y2[1] (analytic) = 1.3268796929757307454575567025243 y2[1] (numeric) = 1.3268796929757307416890613411611 absolute error = 3.7684953613632e-18 relative error = 2.8401183478147687313455479411743e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=408.1MB, alloc=4.6MB, time=27.05 NO POLE NO POLE x[1] = 0.334 y1[1] (analytic) = 1.9447386065426065883750189078808 y1[1] (numeric) = 1.9447386065426065776522671164848 absolute error = 1.07227517913960e-17 relative error = 5.5137239294380609778494366194009e-16 % h = 0.001 y2[1] (analytic) = 1.3278245953371009346877691003853 y2[1] (numeric) = 1.327824595337100930892375291487 absolute error = 3.7953938088983e-18 relative error = 2.8583548024539686466822024532020e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.335 y1[1] (analytic) = 1.9444103096326430100686426826321 y1[1] (numeric) = 1.9444103096326429993038841627244 absolute error = 1.07647585199077e-17 relative error = 5.5362587138007323858425153378239e-16 % h = 0.001 y2[1] (analytic) = 1.3287691698739031055324142783622 y2[1] (numeric) = 1.3287691698739031017100341698862 absolute error = 3.8223801084760e-18 relative error = 2.8766321458517391550539447041468e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=411.9MB, alloc=4.6MB, time=27.31 NO POLE NO POLE x[1] = 0.336 y1[1] (analytic) = 1.9440810683124484999757690804005 y1[1] (numeric) = 1.9440810683124484891690471276279 absolute error = 1.08067219527726e-17 relative error = 5.5587815389578018597625876546840e-16 % h = 0.001 y2[1] (analytic) = 1.3297134156415627999038635015058 y2[1] (numeric) = 1.3297134156415627960544093008811 absolute error = 3.8494542006247e-18 relative error = 2.8949502617204231217808860763296e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.337 y1[1] (analytic) = 1.943750882911264350854132425743 y1[1] (numeric) = 1.9437508829112643400054904693143 absolute error = 1.08486419564287e-17 relative error = 5.5812923620027287214949060172014e-16 % h = 0.001 y2[1] (analytic) = 1.3306573316958343288295670804365 y2[1] (numeric) = 1.3306573316958343249529510547429 absolute error = 3.8766160256936e-18 relative error = 2.9133090340795030449489738920120e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.338 y1[1] (analytic) = 1.9434197537592759363724326587988 y1[1] (numeric) = 1.9434197537592759254819142614089 absolute error = 1.08905183973899e-17 relative error = 5.6037911399859463273406528671032e-16 % h = 0.001 y2[1] (analytic) = 1.331600917092801716697664656756 y2[1] (numeric) = 1.3316009170928017127937991329032 absolute error = 3.9038655238528e-18 relative error = 2.9317083472545644338257114867339e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=415.8MB, alloc=4.6MB, time=27.57 NO POLE NO POLE x[1] = 0.339 y1[1] (analytic) = 1.9430876811876123809249891820363 y1[1] (numeric) = 1.9430876811876123699926380397899 absolute error = 1.09323511422464e-17 relative error = 5.6262778299147894297129276226886e-16 % h = 0.001 y2[1] (analytic) = 1.332544170888879645172882155245 y2[1] (numeric) = 1.3325441708888796412416795201522 absolute error = 3.9312026350928e-18 relative error = 2.9501480858758125940540119041102e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.34 y1[1] (analytic) = 1.9427546655283462285026440600266 y1[1] (numeric) = 1.9427546655283462175285040023615 absolute error = 1.09741400576651e-17 relative error = 5.6487523887534214103440736512051e-16 % h = 0.001 y2[1] (analytic) = 1.3334870921408143967817714870308 y2[1] (numeric) = 1.3334870921408143928231441878055 absolute error = 3.9586272992253e-18 relative error = 2.9686281348775698684587039359062e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=419.6MB, alloc=4.6MB, time=27.82 NO POLE NO POLE x[1] = 0.341 y1[1] (analytic) = 1.9424207071144931106202457013121 y1[1] (numeric) = 1.9424207071144930996043606909229 absolute error = 1.10158850103892e-17 relative error = 5.6712147734223495279055338420104e-16 % h = 0.001 y2[1] (analytic) = 1.334429679905684798166349418561 y2[1] (numeric) = 1.3344296799056847941802099626783 absolute error = 3.9861394558827e-18 relative error = 2.9871483794968000878992012247203e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.342 y1[1] (analytic) = 1.9420858062800114133010450948604 y1[1] (numeric) = 1.9420858062800114022434592276211 absolute error = 1.10575858672393e-17 relative error = 5.6936649407987119767170274085271e-16 % h = 0.001 y2[1] (analytic) = 1.3353719332409031630051923528251 y2[1] (numeric) = 1.3353719332409031589914533083065 absolute error = 4.0137390445186e-18 relative error = 3.0057087052723874089598979137245e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=423.4MB, alloc=4.6MB, time=28.08 NO POLE NO POLE x[1] = 0.343 y1[1] (analytic) = 1.9417499633598019431183376166772 y1[1] (numeric) = 1.9417499633598019320190951215644 absolute error = 1.10992424951128e-17 relative error = 5.7161028477156896890990860034829e-16 % h = 0.001 y2[1] (analytic) = 1.336313851204216234601044101807 y2[1] (numeric) = 1.3363138512042162305596180973992 absolute error = 4.0414260044078e-18 relative error = 3.0243089980440433256793272739794e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.344 y1[1] (analytic) = 1.9414131786897075922946843649114 y1[1] (numeric) = 1.9414131786897075811538296039264 absolute error = 1.11408547609850e-17 relative error = 5.7385284509627931240775307340066e-16 % h = 0.001 y2[1] (analytic) = 1.3372554328537061281339940626387 y2[1] (numeric) = 1.3372554328537061240647937879926 absolute error = 4.0692002746461e-18 relative error = 3.0429491439510680321610254416961e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=427.2MB, alloc=4.6MB, time=28.33 NO POLE NO POLE x[1] = 0.345 y1[1] (analytic) = 1.9410754526065130028590479241997 y1[1] (numeric) = 1.9410754526065129916766253922915 absolute error = 1.11824225319082e-17 relative error = 5.7609417072851189433405766571245e-16 % h = 0.001 y2[1] (analytic) = 1.338196677247791272579283544357 y2[1] (numeric) = 1.3381966772477912684822217502061 absolute error = 4.0970617941509e-18 relative error = 3.0616290294317141295901146547332e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.346 y1[1] (analytic) = 1.9407367854479442298621784020909 y1[1] (numeric) = 1.9407367854479442186382327270779 absolute error = 1.12239456750130e-17 relative error = 5.7833425733837394466331362157268e-16 % h = 0.001 y2[1] (analytic) = 1.3391375834452273522887983275334 y2[1] (numeric) = 1.3391375834452273481637878258724 absolute error = 4.1250105016610e-18 relative error = 3.0803485412219549175815243032104e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=431.0MB, alloc=4.6MB, time=28.58 NO POLE NO POLE x[1] = 0.347 y1[1] (analytic) = 1.9403971775526684036505865221322 y1[1] (numeric) = 1.9403971775526683923851624646243 absolute error = 1.12654240575079e-17 relative error = 5.8057310059152162500472054325779e-16 % h = 0.001 y2[1] (analytic) = 1.3400781505051082482353058753646 y2[1] (numeric) = 1.3400781505051082440822595396281 absolute error = 4.1530463357365e-18 relative error = 3.0991075663543318022653988481172e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.348 y1[1] (analytic) = 1.9400566292602933911994414996184 y1[1] (numeric) = 1.9400566292602933798925839529388 absolute error = 1.13068575466796e-17 relative error = 5.8281069614914742134160205315659e-16 % h = 0.001 y2[1] (analytic) = 1.3410183774868669789184959520651 y2[1] (numeric) = 1.3410183774868669747373267173056 absolute error = 4.1811692347595e-18 relative error = 3.1179059921574024254005057143966e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.349 y1[1] (analytic) = 1.9397151409113674565047323670778 y1[1] (numeric) = 1.9397151409113674451564863571841 absolute error = 1.13482460098937e-17 relative error = 5.8504703966798813949669041995787e-16 % h = 0.001 y2[1] (analytic) = 1.3419582634502766409318837425973 y2[1] (numeric) = 1.3419582634502766367225046056639 absolute error = 4.2093791369334e-18 relative error = 3.1367437062541471757260271507386e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=434.8MB, alloc=4.6MB, time=28.83 NO POLE NO POLE x[1] = 0.35 y1[1] (analytic) = 1.9393727128473789200350323573037 y1[1] (numeric) = 1.9393727128473789086454430427094 absolute error = 1.13895893145943e-17 relative error = 5.8728212680027618416655593020176e-16 % h = 0.001 y2[1] (analytic) = 1.3428978074554513491896349069176 y2[1] (numeric) = 1.342897807455451344951958926634 absolute error = 4.2376759802836e-18 relative error = 3.1556205965614242318630123089780e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.351 y1[1] (analytic) = 1.9390293454107558172432068921403 y1[1] (numeric) = 1.9390293454107558058123195638361 absolute error = 1.14308873283042e-17 relative error = 5.8951595319372172413822067818555e-16 % h = 0.001 y2[1] (analytic) = 1.3438370085628471768123723419896 y2[1] (numeric) = 1.343837008562847172546312639332 absolute error = 4.2660597026576e-18 relative error = 3.1745365512889797305085922338729e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=438.6MB, alloc=4.6MB, time=29.09 NO POLE NO POLE x[1] = 0.352 y1[1] (analytic) = 1.9386850389448655561384066652863 y1[1] (numeric) = 1.9386850389448655446662667466605 absolute error = 1.14721399186258e-17 relative error = 5.9174851449153093982916663055622e-16 % h = 0.001 y2[1] (analytic) = 1.3447758658332630946710247658361 y2[1] (numeric) = 1.3447758658332630903764945241115 absolute error = 4.2945302417246e-18 relative error = 3.1934914589380896006188820517727e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.353 y1[1] (analytic) = 1.9383397937940145739186882470937 y1[1] (numeric) = 1.9383397937940145624053412938529 absolute error = 1.15133469532408e-17 relative error = 5.9397980633236237603192224451496e-16 % h = 0.001 y2[1] (analytic) = 1.345714378327841910587777579861 y2[1] (numeric) = 1.345714378327841906264690044885 absolute error = 4.3230875349760e-18 relative error = 3.2124852083008752036798602425868e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=442.5MB, alloc=4.6MB, time=29.34 NO POLE NO POLE x[1] = 0.354 y1[1] (analytic) = 1.9379936103034479926646055787134 y1[1] (numeric) = 1.9379936103034479811100972788029 absolute error = 1.15545082999105e-17 relative error = 5.9620982435031420232287560297430e-16 % h = 0.001 y2[1] (analytic) = 1.3466525451080712081931868085672 y2[1] (numeric) = 1.3466525451080712038414552888416 absolute error = 4.3517315197256e-18 relative error = 3.2315176884593983959764012975831e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.355 y1[1] (analytic) = 1.937646488819349274094116661967 y1[1] (numeric) = 1.937646488819349262498492835491 absolute error = 1.15956238264760e-17 relative error = 5.9843856417490629325433746485936e-16 % h = 0.001 y2[1] (analytic) = 1.3475903652357842854385172596347 y2[1] (numeric) = 1.3475903652357842810580551265256 absolute error = 4.3804621331091e-18 relative error = 3.2505887887842402651654849149599e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=446.3MB, alloc=4.6MB, time=29.60 NO POLE NO POLE x[1] = 0.356 y1[1] (analytic) = 1.9372984296888398733791506900099 y1[1] (numeric) = 1.9372984296888398617424572891513 absolute error = 1.16366934008586e-17 relative error = 6.0066602143107260727266182615659e-16 % h = 0.001 y2[1] (analytic) = 1.3485278377731610927623663921003 y2[1] (numeric) = 1.3485278377731610883530870800154 absolute error = 4.4092793120849e-18 relative error = 3.2696983989340491551727535807283e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.357 y1[1] (analytic) = 1.9369494332599788920241818021889 y1[1] (numeric) = 1.936949433259978880346464911129 absolute error = 1.16777168910599e-17 relative error = 6.0289219173913806348791156774485e-16 % h = 0.001 y2[1] (analytic) = 1.3494649617827291709106357260919 y2[1] (numeric) = 1.349464961782729166472452732658 absolute error = 4.4381829934339e-18 relative error = 3.2888464088543488882369090324888e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=450.1MB, alloc=4.6MB, time=29.85 NO POLE NO POLE x[1] = 0.358 y1[1] (analytic) = 1.9365994998817627298071565844923 y1[1] (numeric) = 1.9365994998817627180884624193303 absolute error = 1.17186941651620e-17 relative error = 6.0511707071480055147613526105924e-16 % h = 0.001 y2[1] (analytic) = 1.3504017363273645884089119742243 y2[1] (numeric) = 1.350401736327364583941738860465 absolute error = 4.4671731137593e-18 relative error = 3.3080327087763513019122863347400e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.359 y1[1] (analytic) = 1.9362486299041247357831233746356 y1[1] (numeric) = 1.9362486299041247240234982833079 absolute error = 1.17596250913277e-17 relative error = 6.0734065396911291587017899665824e-16 % h = 0.001 y2[1] (analytic) = 1.3513381604702928786863204223547 y2[1] (numeric) = 1.3513381604702928741900708128675 absolute error = 4.4962496094872e-18 relative error = 3.3272571892163650868511554052617e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.36 y1[1] (analytic) = 1.9358968236779348583509123681247 y1[1] (numeric) = 1.9358968236779348465504028303238 absolute error = 1.18005095378009e-17 relative error = 6.0956293710847524675926374471351e-16 % h = 0.001 y2[1] (analytic) = 1.3522742332750899768499134359207 y2[1] (numeric) = 1.3522742332750899723245010190542 absolute error = 4.5254124168665e-18 relative error = 3.3465197409746887944492058893643e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=453.9MB, alloc=4.6MB, time=30.10 NO POLE NO POLE x[1] = 0.361 y1[1] (analytic) = 1.935544081554999294383216458587 y1[1] (numeric) = 1.9355440815549992825418690856803 absolute error = 1.18413473729067e-17 relative error = 6.1178391573461165643805834546860e-16 % h = 0.001 y2[1] (analytic) = 1.353209953805683156108657317552 y2[1] (numeric) = 1.353209953805683151553995845583 absolute error = 4.5546614719690e-18 relative error = 3.3658202551346556005922788763708e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.362 y1[1] (analytic) = 1.9351904038880601374204236822605 y1[1] (numeric) = 1.9351904038880601255382852172091 absolute error = 1.18821384650514e-17 relative error = 6.1400358544454185758665490019775e-16 % h = 0.001 y2[1] (analytic) = 1.3541453211263519638460810920458 y2[1] (numeric) = 1.3541453211263519592620843813566 absolute error = 4.5839967106892e-18 relative error = 3.3851586230614598564533892983435e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=457.7MB, alloc=4.6MB, time=30.36 NO POLE NO POLE x[1] = 0.363 y1[1] (analytic) = 1.9348357910307950249285530727796 y1[1] (numeric) = 1.9348357910307950130056703900565 absolute error = 1.19228826827231e-17 relative error = 6.1622194183058371486358647423107e-16 % h = 0.001 y2[1] (analytic) = 1.3550803343017291573406511461367 y2[1] (numeric) = 1.3550803343017291527272330773916 absolute error = 4.6134180687451e-18 relative error = 3.4045347364017258351330566873999e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.364 y1[1] (analytic) = 1.9344802433378167846216466682912 y1[1] (numeric) = 1.9344802433378167726580667737993 absolute error = 1.19635798944919e-17 relative error = 6.1843898048033511610769336974677e-16 % h = 0.001 y2[1] (analytic) = 1.3560149923968016391329360027619 y2[1] (numeric) = 1.3560149923968016344900105210843 absolute error = 4.6429254816776e-18 relative error = 3.4239484870820452020630079514740e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=461.5MB, alloc=4.6MB, time=30.62 NO POLE NO POLE x[1] = 0.365 y1[1] (analytic) = 1.9341237611646730798489713484808 y1[1] (numeric) = 1.9341237611646730678447413794711 absolute error = 1.20042299690097e-17 relative error = 6.2065469697663513660030333806713e-16 % h = 0.001 y2[1] (analytic) = 1.3569492944769113920386258627375 y2[1] (numeric) = 1.3569492944769113873661069778866 absolute error = 4.6725188848509e-18 relative error = 3.4433997673082568578480271806441e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.366 y1[1] (analytic) = 1.9337663448678460540473851142766 y1[1] (numeric) = 1.9337663448678460420025523392656 absolute error = 1.20448327750110e-17 relative error = 6.2286908689757686709839650144670e-16 % h = 0.001 y2[1] (analytic) = 1.357883239607756413806471900903 y2[1] (numeric) = 1.3578832396077564091042736874504 absolute error = 4.7021982134526e-18 relative error = 3.4628884695645082060886183262578e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=465.4MB, alloc=4.6MB, time=30.87 NO POLE NO POLE x[1] = 0.367 y1[1] (analytic) = 1.9334079948047519742592233578357 y1[1] (numeric) = 1.9334079948047519621738351765231 absolute error = 1.20853881813126e-17 relative error = 6.2508214581646335588700859581197e-16 % h = 0.001 y2[1] (analytic) = 1.3588168268553916514202106588722 y2[1] (numeric) = 1.3588168268553916466882472563783 absolute error = 4.7319634024939e-18 relative error = 3.4824144866123932743874926332969e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.368 y1[1] (analytic) = 1.9330487113337408737160616048967 y1[1] (numeric) = 1.9330487113337408615901655480825 absolute error = 1.21258960568142e-17 relative error = 6.2729386930181005458505745699674e-16 % h = 0.001 y2[1] (analytic) = 1.3597500552862299350435392325448 y2[1] (numeric) = 1.3597500552862299302817248457355 absolute error = 4.7618143868093e-18 relative error = 3.5019777114897260637480713568777e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=469.2MB, alloc=4.6MB, time=31.12 NO POLE NO POLE x[1] = 0.369 y1[1] (analytic) = 1.9326884948140961934887121457059 y1[1] (numeric) = 1.9326884948140961813223558752075 absolute error = 1.21663562704984e-17 relative error = 6.2950425291731621594424277182478e-16 % h = 0.001 y2[1] (analytic) = 1.3606829239670429116072073094816 y2[1] (numeric) = 1.3606829239670429068154562084242 absolute error = 4.7917511010574e-18 relative error = 3.5215780375101267594538716065541e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.37 y1[1] (analytic) = 1.9323273456060344232038129044909 y1[1] (numeric) = 1.9323273456060344109970442130598 absolute error = 1.22067686914311e-17 relative error = 6.3171329222185695422022049368005e-16 % h = 0.001 y2[1] (analytic) = 1.3616154319649619780372924691272 y2[1] (numeric) = 1.3616154319649619732155189894071 absolute error = 4.8217734797201e-18 relative error = 3.5412153582614339681613136569587e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.371 y1[1] (analytic) = 1.9319652640707047408273678308622 y1[1] (numeric) = 1.9319652640707047285802346421008 absolute error = 1.22471331887614e-17 relative error = 6.3392098276944941035350611306116e-16 % h = 0.001 y2[1] (analytic) = 1.3625475783474792141237255176854 y2[1] (numeric) = 1.3625475783474792092718440605819 absolute error = 4.8518814571035e-18 relative error = 3.5608895676053705417596163213011e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=473.0MB, alloc=4.6MB, time=31.37 NO POLE NO POLE x[1] = 0.372 y1[1] (analytic) = 1.9316022505701886515155990295735 y1[1] (numeric) = 1.9316022505701886392281493978512 absolute error = 1.22874496317223e-17 relative error = 6.3612732010926028956254791790232e-16 % h = 0.001 y2[1] (analytic) = 1.3634793621824483150281329891974 y2[1] (numeric) = 1.3634793621824483101460580218599 absolute error = 4.8820749673375e-18 relative error = 3.5806005596762567361091285928271e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.373 y1[1] (analytic) = 1.9312383054674996255334717777569 y1[1] (numeric) = 1.9312383054674996132057538881264 absolute error = 1.23277178896305e-17 relative error = 6.3833229978556679926889067901078e-16 % h = 0.001 y2[1] (analytic) = 1.364410782538085523430064305059 y2[1] (numeric) = 1.3644107825380855185177103606828 absolute error = 4.9123539443762e-18 relative error = 3.6003482288803143881432850396719e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=476.8MB, alloc=4.6MB, time=31.63 NO POLE NO POLE x[1] = 0.374 y1[1] (analytic) = 1.9308734291265827352412545110794 y1[1] (numeric) = 1.9308734291265827228733166791925 absolute error = 1.23679378318869e-17 relative error = 6.4053591733775378995239207206735e-16 % h = 0.001 y2[1] (analytic) = 1.3653418384829705613106714458277 y2[1] (numeric) = 1.3653418384829705563679531238297 absolute error = 4.9427183219980e-18 relative error = 3.6201324698947536309188698862741e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.375 y1[1] (analytic) = 1.9305076219123142911494767922296 y1[1] (numeric) = 1.9305076219123142787413674642529 absolute error = 1.24081093279767e-17 relative error = 6.4273816830029016683814876362290e-16 % h = 0.001 y2[1] (analytic) = 1.3662725290860475613729093517163 y2[1] (numeric) = 1.366272529086047556399741317911 absolute error = 4.9731680338053e-18 relative error = 3.6399531776665699947994924524684e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=480.6MB, alloc=4.6MB, time=31.88 NO POLE NO POLE x[1] = 0.376 y1[1] (analytic) = 1.9301408841905014770426492067458 y1[1] (numeric) = 1.9301408841905014645944169592765 absolute error = 1.24482322474693e-17 relative error = 6.4493904820269490686302994556794e-16 % h = 0.001 y2[1] (analytic) = 1.3672028534166259980973256316518 y2[1] (numeric) = 1.3672028534166259930936226184269 absolute error = 5.0037030132249e-18 relative error = 3.6598102474118578384982454881891e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.377 y1[1] (analytic) = 1.929773216327881984172110062437 y1[1] (numeric) = 1.9297732163278819716838036024178 absolute error = 1.24883064600192e-17 relative error = 6.4713855256955485040229048394313e-16 % h = 0.001 y2[1] (analytic) = 1.368132810544381618432508525187 y2[1] (numeric) = 1.3681328105443816133981853316785 absolute error = 5.0343231935085e-18 relative error = 3.6797035746151990994931924925063e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=484.4MB, alloc=4.6MB, time=32.13 NO POLE NO POLE x[1] = 0.378 y1[1] (analytic) = 1.9294046186921236445183646995176 y1[1] (numeric) = 1.9294046186921236319900328641518 absolute error = 1.25283318353658e-17 relative error = 6.4933667692048549489392259224251e-16 % h = 0.001 y2[1] (analytic) = 1.3690623995393573721192624268931 y2[1] (numeric) = 1.3690623995393573670542339191611 absolute error = 5.0650285077320e-18 relative error = 3.6996330550281774539002904905272e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.379 y1[1] (analytic) = 1.929035091651824063123284149087 y1[1] (numeric) = 1.9290350916518240505549759057532 absolute error = 1.25683082433338e-17 relative error = 6.5153341677012284118179499191056e-16 % h = 0.001 y2[1] (analytic) = 1.3699916194719643416475806491373 y2[1] (numeric) = 1.3699916194719643365517617603412 absolute error = 5.0958188887961e-18 relative error = 3.7195985846688468703643178401141e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=488.2MB, alloc=4.6MB, time=32.38 NO POLE NO POLE x[1] = 0.38 y1[1] (analytic) = 1.9286646355765102494925308077246 y1[1] (numeric) = 1.9286646355765102368842952538916 absolute error = 1.26082355538330e-17 relative error = 6.5372876762808411482812745701371e-16 % h = 0.001 y2[1] (analytic) = 1.3709204694129826718454854663492 y2[1] (numeric) = 1.3709204694129826667187911969229 absolute error = 5.1266942694263e-18 relative error = 3.7396000598207640998186041091629e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.381 y1[1] (analytic) = 1.9282932508366382480685797257438 y1[1] (numeric) = 1.9282932508366382354204660888848 absolute error = 1.26481136368590e-17 relative error = 6.5592272499897510945935669382069e-16 % h = 0.001 y2[1] (analytic) = 1.3718489484335624990988058520127 y2[1] (numeric) = 1.3718489484335624939411512698397 absolute error = 5.1576545821730e-18 relative error = 3.7596373770320974311150504743893e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.382 y1[1] (analytic) = 1.9279209378035927677747050360532 y1[1] (numeric) = 1.92792093780359275508676267356 absolute error = 1.26879423624932e-17 relative error = 6.5811528438236122392831362926131e-16 % h = 0.001 y2[1] (analytic) = 1.3727770556052248802009636886848 y2[1] (numeric) = 1.3727770556052248750122639292731 absolute error = 5.1886997594117e-18 relative error = 3.7797104331148113529066493043295e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=492.1MB, alloc=4.6MB, time=32.63 NO POLE NO POLE x[1] = 0.383 y1[1] (analytic) = 1.927547696849686810630301979607 y1[1] (numeric) = 1.9275476968496867979025803787038 absolute error = 1.27277216009032e-17 relative error = 6.6030644127275921159686023588735e-16 % h = 0.001 y2[1] (analytic) = 1.3737047899998627208318396013306 y2[1] (numeric) = 1.3737047899998627156120098679877 absolute error = 5.2198297333429e-18 relative error = 3.7998191251436355812726398749070e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.384 y1[1] (analytic) = 1.9271735283481612994379159120923 y1[1] (numeric) = 1.9271735283481612866704646897495 absolute error = 1.27674512223428e-17 relative error = 6.6249619115960815813634447324295e-16 % h = 0.001 y2[1] (analytic) = 1.3746321506897417036647899351876 y2[1] (numeric) = 1.3746321506897416984137454991952 absolute error = 5.2510444359924e-18 relative error = 3.8199633504553287006417553731930e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=495.9MB, alloc=4.6MB, time=32.88 NO POLE NO POLE x[1] = 0.385 y1[1] (analytic) = 1.9267984326731847045423506047928 y1[1] (numeric) = 1.9267984326731846917352195076406 absolute error = 1.28071310971522e-17 relative error = 6.6468452952725079930744221933690e-16 % h = 0.001 y2[1] (analytic) = 1.3755591367475012161008867712188 y2[1] (numeric) = 1.3755591367475012108185429720077 absolute error = 5.2823437992111e-18 relative error = 3.8401430066475807496869532457467e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.386 y1[1] (analytic) = 1.9264224101998526696622290804899 y1[1] (numeric) = 1.9264224101998526568154679847315 absolute error = 1.28467610957584e-17 relative error = 6.6687145185492519266595664814941e-16 % h = 0.001 y2[1] (analytic) = 1.3764857472461552776294532449923 y2[1] (numeric) = 1.3764857472461552723157254903165 absolute error = 5.3137277546758e-18 relative error = 3.8603579915786461876338482826055e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=499.7MB, alloc=4.6MB, time=33.14 NO POLE NO POLE x[1] = 0.387 y1[1] (analytic) = 1.9260454613041876367943811528091 y1[1] (numeric) = 1.9260454613041876239080400641337 absolute error = 1.28863410886754e-17 relative error = 6.6905695361674598936087841042648e-16 % h = 0.001 y2[1] (analytic) = 1.3774119812590934668139668085286 y2[1] (numeric) = 1.3774119812590934614687705746403 absolute error = 5.3451962338883e-18 relative error = 3.8806082033657436055387776891496e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.388 y1[1] (analytic) = 1.9256675863631384701914327645926 y1[1] (numeric) = 1.9256675863631384572655618180882 absolute error = 1.29258709465044e-17 relative error = 6.7124103028168567777605385097690e-16 % h = 0.001 y2[1] (analytic) = 1.3783378378600818479024034492912 y2[1] (numeric) = 1.3783378378600818425256542811148 absolute error = 5.3767491681764e-18 relative error = 3.9008935403848398274183472801769e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=503.5MB, alloc=4.6MB, time=33.39 NO POLE NO POLE x[1] = 0.389 y1[1] (analytic) = 1.9252887857545800794129731476774 y1[1] (numeric) = 1.9252887857545800664476226077435 absolute error = 1.29653505399339e-17 relative error = 6.7342367731355060487414857146374e-16 % h = 0.001 y2[1] (analytic) = 1.3792633161232638970610962560513 y2[1] (numeric) = 1.3792633161232638916527097673577 absolute error = 5.4083864886936e-18 relative error = 3.9212139012694918171225962649093e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.39 y1[1] (analytic) = 1.9249090598573130414506767528811 y1[1] (numeric) = 1.9249090598573130284458970131412 absolute error = 1.30047797397399e-17 relative error = 6.7560489017096215805620664609697e-16 % h = 0.001 y2[1] (analytic) = 1.3801884151231614282311820978472 y2[1] (numeric) = 1.3801884151231614227910739714282 absolute error = 5.4401081264190e-18 relative error = 3.9415691849098376251147479120562e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=507.3MB, alloc=4.6MB, time=33.65 NO POLE NO POLE x[1] = 0.391 y1[1] (analytic) = 1.9245284090510632219277578250411 y1[1] (numeric) = 1.9245284090510632088835994082547 absolute error = 1.30441584167864e-17 relative error = 6.7778466430735350670900009039970e-16 % h = 0.001 y2[1] (analytic) = 1.381113133934675518606710559668 y2[1] (numeric) = 1.3811131339346755131347965475101 absolute error = 5.4719140121579e-18 relative error = 3.9619592904520977033515838607562e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.392 y1[1] (analytic) = 1.9241468337164813953731364236214 y1[1] (numeric) = 1.924146833716481382289649981596 absolute error = 1.30834864420254e-17 relative error = 6.7996299517094034809443642689120e-16 % h = 0.001 y2[1] (analytic) = 1.3820374716330874337334896568294 y2[1] (numeric) = 1.3820374716330874282296855802878 absolute error = 5.5038040765416e-18 relative error = 3.9823841172974988454847169617966e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.393 y1[1] (analytic) = 1.9237643342351428645706956146894 y1[1] (numeric) = 1.9237643342351428514479319281921 absolute error = 1.31227636864973e-17 relative error = 6.8213987820471240475811758643024e-16 % memory used=511.1MB, alloc=4.6MB, time=33.90 h = 0.001 y2[1] (analytic) = 1.3829614272940595522277432292739 y2[1] (numeric) = 1.3829614272940595466919649792463 absolute error = 5.5357782500276e-18 relative error = 4.0028435651014911593832559983217e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.394 y1[1] (analytic) = 1.9233809109895470789840104849733 y1[1] (numeric) = 1.9233809109895470658220204636428 absolute error = 1.31619900213305e-17 relative error = 6.8431530884638331209548107853237e-16 % h = 0.001 y2[1] (analytic) = 1.3838849999936362901136552972144 y2[1] (numeric) = 1.3838849999936362845458188343148 absolute error = 5.5678364628996e-18 relative error = 4.0233375337728231412579598949027e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.395 y1[1] (analytic) = 1.9229965643631172522569305532408 y1[1] (numeric) = 1.9229965643631172390557652354982 absolute error = 1.32011653177426e-17 relative error = 6.8648928252842364310352825137472e-16 % h = 0.001 y2[1] (analytic) = 1.384808188808245024778877040654 y2[1] (numeric) = 1.3848081888082450191788983953862 absolute error = 5.5999786452678e-18 relative error = 4.0438659234728365763246344372022e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=514.9MB, alloc=4.6MB, time=34.15 NO POLE NO POLE x[1] = 0.396 y1[1] (analytic) = 1.9226112947401999787903980783825 y1[1] (numeric) = 1.9226112947401999655501086313426 absolute error = 1.32402894470399e-17 relative error = 6.8866179467800554498645466676854e-16 % h = 0.001 y2[1] (analytic) = 1.3857309928146970185470724473521 y2[1] (numeric) = 1.3857309928146970129148677202833 absolute error = 5.6322047270688e-18 relative error = 4.0644286346144750937938455526904e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.397 y1[1] (analytic) = 1.9222251025060648493958856873514 y1[1] (numeric) = 1.9222251025060648361165234067335 absolute error = 1.32793622806179e-17 relative error = 6.9083284071699932597426867354246e-16 % h = 0.001 y2[1] (analytic) = 1.3866534110901883418665790567684 y2[1] (numeric) = 1.3866534110901883362020644187026 absolute error = 5.6645146380658e-18 relative error = 4.0850255678615125243808956845404e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=518.8MB, alloc=4.6MB, time=34.41 NO POLE NO POLE x[1] = 0.398 y1[1] (analytic) = 1.9218379880469040660258376694886 y1[1] (numeric) = 1.9218379880469040527074539795273 absolute error = 1.33183836899613e-17 relative error = 6.9300241606194401487757746958266e-16 % h = 0.001 y2[1] (analytic) = 1.3875754427123007961142606114002 y2[1] (numeric) = 1.3875754427123007904173523035515 absolute error = 5.6969083078487e-18 relative error = 4.1056566241277117659322506713806e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.399 y1[1] (analytic) = 1.9214499517498320555815002067615 y1[1] (numeric) = 1.9214499517498320422241466601169 absolute error = 1.33573535466446e-17 relative error = 6.9517051612404910509951233475646e-16 % h = 0.001 y2[1] (analytic) = 1.3884970867590028360136288117384 y2[1] (numeric) = 1.388497086759002830284243145904 absolute error = 5.7293856658344e-18 relative error = 4.1263217045761305428639018968574e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=522.6MB, alloc=4.6MB, time=34.66 NO POLE NO POLE x[1] = 0.4 y1[1] (analytic) = 1.9210609940028850827985267320518 y1[1] (numeric) = 1.92106099400288506940225500972 absolute error = 1.33962717223318e-17 relative error = 6.9733713630914944526912849384773e-16 % h = 0.001 y2[1] (analytic) = 1.3894183423086504916663117567957 y2[1] (numeric) = 1.3894183423086504859043651155293 absolute error = 5.7619466412664e-18 relative error = 4.1470207106179256259720513225975e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.401 y1[1] (analytic) = 1.9206711151950208622107455298569 y1[1] (numeric) = 1.9206711151950208487756074410796 absolute error = 1.34351380887773e-17 relative error = 6.9950227201772254683630637756879e-16 % h = 0.001 y2[1] (analytic) = 1.3903392084399882901959470388174 y2[1] (numeric) = 1.3903392084399882844013558756018 absolute error = 5.7945911632156e-18 relative error = 4.1677535439120244131502975657790e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=526.4MB, alloc=4.6MB, time=34.92 NO POLE NO POLE x[1] = 0.402 y1[1] (analytic) = 1.9202803157161181691924776156028 y1[1] (numeric) = 1.9202803157161181557185250977775 absolute error = 1.34739525178253e-17 relative error = 7.0166591864482779273572253266330e-16 % h = 0.001 y2[1] (analytic) = 1.3912596842321501770035778483565 y2[1] (numeric) = 1.3912596842321501711762586877768 absolute error = 5.8273191605797e-18 relative error = 4.1885201063637910432863525664640e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.403 y1[1] (analytic) = 1.9198885959569764500797938512206 y1[1] (numeric) = 1.9198885959569764365670789698098 absolute error = 1.35127148814108e-17 relative error = 7.0382807158012890356939757688973e-16 % h = 0.001 y2[1] (analytic) = 1.3921797687646604366336308343958 y2[1] (numeric) = 1.3921797687646604307735002723119 absolute error = 5.8601305620839e-18 relative error = 4.2093203001246311039451146453602e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=530.2MB, alloc=4.6MB, time=35.17 x[1] = 0.404 y1[1] (analytic) = 1.9194959563093154313711011756945 y1[1] (numeric) = 1.9194959563093154178196761241353 absolute error = 1.35514250515592e-17 relative error = 7.0598872620784348899659085778125e-16 % h = 0.001 y2[1] (analytic) = 1.3930994611174346132495548536135 y2[1] (numeric) = 1.3930994611174346073565295573328 absolute error = 5.8930252962807e-18 relative error = 4.2301540275909513813126152900835e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.405 y1[1] (analytic) = 1.9191023971657747280074487499645 y1[1] (numeric) = 1.9191023971657747144173658495777 absolute error = 1.35900829003868e-17 relative error = 7.0814787790673942769868691145507e-16 % h = 0.001 y2[1] (analytic) = 1.3940187603707804307182001332327 y2[1] (numeric) = 1.3940187603707804247921968416828 absolute error = 5.9260032915499e-18 relative error = 4.2510211914032667190643119296757e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.406 y1[1] (analytic) = 1.9187079189199134507329457358444 y1[1] (numeric) = 1.9187079189199134371042574357432 absolute error = 1.36286883001012e-17 relative error = 7.1030552205012602451573459985043e-16 % h = 0.001 y2[1] (analytic) = 1.3949376656053987123020177631507 y2[1] (numeric) = 1.3949376656053987063429532870514 absolute error = 5.9590644760993e-18 relative error = 4.2719216944458117468119636587303e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=534.0MB, alloc=4.6MB, time=35.42 NO POLE NO POLE x[1] = 0.407 y1[1] (analytic) = 1.9183125219662098125356833485036 y1[1] (numeric) = 1.9183125219662097988684422255025 absolute error = 1.36672411230011e-17 relative error = 7.1246165400581387272516253707390e-16 % h = 0.001 y2[1] (analytic) = 1.3958561759023842999581598252254 y2[1] (numeric) = 1.3958561759023842939659510472615 absolute error = 5.9922087779639e-18 relative error = 4.2928554398450790598779419706279e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.408 y1[1] (analytic) = 1.9179162067000607341695547415594 y1[1] (numeric) = 1.9179162067000607204638135000827 absolute error = 1.37057412414767e-17 relative error = 7.1461626913610594412958912659783e-16 % h = 0.001 y2[1] (analytic) = 1.3967742903432269732435608606962 y2[1] (numeric) = 1.3967742903432269672181247356894 absolute error = 6.0254361250068e-18 relative error = 4.3138223309695797867462385027803e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=537.8MB, alloc=4.6MB, time=35.68 NO POLE NO POLE x[1] = 0.409 y1[1] (analytic) = 1.9175189735177814487573672029263 y1[1] (numeric) = 1.9175189735177814350131786749162 absolute error = 1.37441885280101e-17 relative error = 7.1676936279778866151832649855905e-16 % h = 0.001 y2[1] (analytic) = 1.3976920080098123678250817707338 y2[1] (numeric) = 1.3976920080098123617663353258148 absolute error = 6.0587464449190e-18 relative error = 4.3348222714288176207532439375602e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.41 y1[1] (analytic) = 1.917120822816605105475642058277 y1[1] (numeric) = 1.9171208228166050916930592031016 absolute error = 1.37825828551754e-17 relative error = 7.1892093034210730503939868386694e-16 % h = 0.001 y2[1] (analytic) = 1.3986093279844228935937976400511 y2[1] (numeric) = 1.3986093279844228875016579748316 absolute error = 6.0921396652195e-18 relative error = 4.3558551650724809261363228808077e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=541.6MB, alloc=4.6MB, time=35.93 NO POLE NO POLE x[1] = 0.411 y1[1] (analytic) = 1.9167217549946823723214985972821 y1[1] (numeric) = 1.9167217549946823585005745016434 absolute error = 1.38209240956387e-17 relative error = 7.2107096711473616416113203440471e-16 % h = 0.001 y2[1] (analytic) = 1.3995262493497386523825113693651 y2[1] (numeric) = 1.3995262493497386462568956561096 absolute error = 6.1256157132555e-18 relative error = 4.3769209159897090127796037577715e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.412 y1[1] (analytic) = 1.9163217704510810379620192557123 y1[1] (numeric) = 1.9163217704510810241028071335538 absolute error = 1.38592121221585e-17 relative error = 7.2321946845576951906914444850503e-16 % h = 0.001 y2[1] (analytic) = 1.4004427711888383552855753992714 y2[1] (numeric) = 1.4004427711888383491264008830692 absolute error = 6.1591745162022e-18 relative error = 4.3980194285080752111694315130332e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=545.5MB, alloc=4.6MB, time=36.19 NO POLE NO POLE x[1] = 0.413 y1[1] (analytic) = 1.915920869585785612666494204004 y1[1] (numeric) = 1.915920869585785598769047396418 absolute error = 1.38974468075860e-17 relative error = 7.2536642969970738471592346972308e-16 % h = 0.001 y2[1] (analytic) = 1.4013588925852002395801042057874 y2[1] (numeric) = 1.4013588925852002333872882047239 absolute error = 6.1928160010635e-18 relative error = 4.4191506071932157161707061052263e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.414 y1[1] (analytic) = 1.9155190527996969283219444100102 y1[1] (numeric) = 1.915519052799696914386316385145 absolute error = 1.39356280248652e-17 relative error = 7.2751184617543078934392195050466e-16 % h = 0.001 y2[1] (analytic) = 1.4022746126227029852476606464264 y2[1] (numeric) = 1.4022746126227029790211205517548 absolute error = 6.2265400946716e-18 relative error = 4.4403143568476749934576341508426e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=549.3MB, alloc=4.6MB, time=36.44 x[1] = 0.415 y1[1] (analytic) = 1.9151163204946317375323231603814 y1[1] (numeric) = 1.9151163204946317235585675133484 absolute error = 1.39737556470330e-17 relative error = 7.2965571320617701528251933467784e-16 % h = 0.001 y2[1] (analytic) = 1.4031899303856266310954996351939 y2[1] (numeric) = 1.4031899303856266248351529115067 absolute error = 6.2603467236872e-18 relative error = 4.4615105825101828549109371312430e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.416 y1[1] (analytic) = 1.9147126730733223118017969413405 y1[1] (numeric) = 1.9147126730733222977899673941207 absolute error = 1.40118295472198e-17 relative error = 7.3179802610954091541319040609870e-16 % h = 0.001 y2[1] (analytic) = 1.4041048449586534904764530253388 y2[1] (numeric) = 1.404104844958653484182217210739 absolute error = 6.2942358145998e-18 relative error = 4.4827391894550051343127290581461e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.417 y1[1] (analytic) = 1.9143081109394160388025074955377 y1[1] (numeric) = 1.9143081109394160247526578968884 absolute error = 1.40498495986493e-17 relative error = 7.3393878019743443409607762346180e-16 % h = 0.001 y2[1] (analytic) = 1.4050193554268690666065399800501 y2[1] (numeric) = 1.4050193554268690602783326863222 absolute error = 6.3282072937279e-18 relative error = 4.5040000831912252827950425234770e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=553.1MB, alloc=4.6MB, time=36.69 NO POLE NO POLE x[1] = 0.418 y1[1] (analytic) = 1.9139026344974750187272177871901 y1[1] (numeric) = 1.913902634497475004639402112551 absolute error = 1.40878156746391e-17 relative error = 7.3607797077608786952715653142794e-16 % h = 0.001 y2[1] (analytic) = 1.4059334608757629674793875135654 y2[1] (numeric) = 1.4059334608757629611171264263466 absolute error = 6.3622610872188e-18 relative error = 4.5252931694617438190837142458666e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.419 y1[1] (analytic) = 1.9134962441529756597272455228257 y1[1] (numeric) = 1.9134962441529756456015178742254 absolute error = 1.41257276486003e-17 relative error = 7.3821559314599887065027913091293e-16 % h = 0.001 y2[1] (analytic) = 1.4068471603912298203765462883469 y2[1] (numeric) = 1.4068471603912298139801491672984 absolute error = 6.3963971210485e-18 relative error = 4.5466183542423523234386427579700e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=556.9MB, alloc=4.6MB, time=36.95 NO POLE NO POLE x[1] = 0.42 y1[1] (analytic) = 1.9130889403123082724360887896657 y1[1] (numeric) = 1.9130889403123082582725033956272 absolute error = 1.41635853940385e-17 relative error = 7.4035164260195454242904302258009e-16 % h = 0.001 y2[1] (analytic) = 1.4077604530595701859727871580863 y2[1] (numeric) = 1.4077604530595701795421718370636 absolute error = 6.4306153210227e-18 relative error = 4.5679755437415919847125935891538e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.421 y1[1] (analytic) = 1.912680723382776663579149287984 y1[1] (numeric) = 1.9126807233827766493777605034306 absolute error = 1.42013887845534e-17 relative error = 7.4248611443298037691547191364042e-16 % h = 0.001 y2[1] (analytic) = 1.4086733379674914720354643513158 y2[1] (numeric) = 1.4086733379674914655705487385397 absolute error = 6.4649156127761e-18 relative error = 4.5893646443994054559737179290488e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=560.7MB, alloc=4.6MB, time=37.21 NO POLE NO POLE x[1] = 0.422 y1[1] (analytic) = 1.9122715937725977286699595476886 y1[1] (numeric) = 1.9122715937725977144308218538493 absolute error = 1.42391376938393e-17 relative error = 7.4461900392233617667148777772136e-16 % h = 0.001 y2[1] (analytic) = 1.4095858142021088467170315963406 y2[1] (numeric) = 1.4095858142021088402177336745678 absolute error = 6.4992979217728e-18 relative error = 4.6107855628865738907226652818113e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.423 y1[1] (analytic) = 1.9118615518909010437933214328626 y1[1] (numeric) = 1.9118615518909010295164894371771 absolute error = 1.42768319956855e-17 relative error = 7.4675030634750673566007798528541e-16 % h = 0.001 y2[1] (analytic) = 1.410497880850946151439797895052 y2[1] (numeric) = 1.4104978808509461449060357217455 absolute error = 6.5337621733065e-18 relative error = 4.6322382061040139429088656391368e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=564.5MB, alloc=4.6MB, time=37.46 NO POLE NO POLE x[1] = 0.424 y1[1] (analytic) = 1.911450598147728456475764151092 y1[1] (numeric) = 1.9114505981477284421612925871163 absolute error = 1.43144715639757e-17 relative error = 7.4888001698014018513806227192783e-16 % h = 0.001 y2[1] (analytic) = 1.4114095370019368133720100609405 y2[1] (numeric) = 1.4114095370019368068037017684403 absolute error = 6.5683082925002e-18 relative error = 4.6537224811817228127946420416381e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.425 y1[1] (analytic) = 1.9110387329540336756437308970901 y1[1] (numeric) = 1.9110387329540336612916746244007 absolute error = 1.43520562726894e-17 relative error = 7.5100813108609090831425797151811e-16 % h = 0.001 y2[1] (analytic) = 1.4123207817434247574943495453043 y2[1] (numeric) = 1.4123207817434247508914133409973 absolute error = 6.6029362043070e-18 relative error = 4.6752382954785058168421835951389e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=568.3MB, alloc=4.6MB, time=37.71 x[1] = 0.426 y1[1] (analytic) = 1.9106259567216818606699041723951 y1[1] (numeric) = 1.9106259567216818462803181764938 absolute error = 1.43895859959013e-17 relative error = 7.5313464392535782594433780562858e-16 % h = 0.001 y2[1] (analytic) = 1.4132316141641653182559314852307 y2[1] (numeric) = 1.4132316141641653116182856517209 absolute error = 6.6376458335098e-18 relative error = 4.6967855565809262347311386629049e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.427 y1[1] (analytic) = 1.910212269863449209508080734783 y1[1] (numeric) = 1.9102122698634491950810201270014 absolute error = 1.44270606077816e-17 relative error = 7.5525955075206971038970812198943e-16 % h = 0.001 y2[1] (analytic) = 1.4141420333533261508188943174277 y2[1] (numeric) = 1.4141420333533261441464572127064 absolute error = 6.6724371047213e-18 relative error = 4.7183641723024709419966655487458e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.428 y1[1] (analytic) = 1.9097976727930225459170080424865 y1[1] (numeric) = 1.9097976727930225314525280598901 absolute error = 1.44644799825964e-17 relative error = 7.5738284681447570985693041935930e-16 % h = 0.001 y2[1] (analytic) = 1.415052038400488141890668713393 y2[1] (numeric) = 1.4150520384004881351833587710088 absolute error = 6.7073099423842e-18 relative error = 4.7399740506828601873877057754906e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=572.2MB, alloc=4.6MB, time=37.96 NO POLE NO POLE x[1] = 0.429 y1[1] (analytic) = 1.9093821659249989057735949693482 y1[1] (numeric) = 1.9093821659249988912717509746402 absolute error = 1.45018439947080e-17 relative error = 7.5950452735493061613812536693633e-16 % h = 0.001 y2[1] (analytic) = 1.4159616283956463201430150037265 y2[1] (numeric) = 1.4159616283956463134007507329547 absolute error = 6.7422642707718e-18 relative error = 4.7616150999876421140929921801618e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.43 y1[1] (analytic) = 1.9089657496748851224759104776634 y1[1] (numeric) = 1.9089657496748851079367579590888 absolute error = 1.45391525185746e-17 relative error = 7.6162458760984867566121138763043e-16 % h = 0.001 y2[1] (analytic) = 1.4168708024292107662169186726246 y2[1] (numeric) = 1.4168708024292107594396186586372 absolute error = 6.7773000139874e-18 relative error = 4.7832872287069414982066178067831e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=576.0MB, alloc=4.6MB, time=38.22 NO POLE NO POLE x[1] = 0.431 y1[1] (analytic) = 1.90854842445909741143638484568 y1[1] (numeric) = 1.9085484244590973968599794169287 absolute error = 1.45764054287513e-17 relative error = 7.6374302280972544777593508948204e-16 % h = 0.001 y2[1] (analytic) = 1.4177795595920075223124339177373 y2[1] (numeric) = 1.4177795595920075155000168217726 absolute error = 6.8124170959647e-18 relative error = 4.8049903455549182246270960580087e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.432 y1[1] (analytic) = 1.9081301906949609536656289565175 y1[1] (numeric) = 1.908130190694960939052026356628 absolute error = 1.46136025998895e-17 relative error = 7.6585982817907583309840861859701e-16 % h = 0.001 y2[1] (analytic) = 1.4186878989752795013625656856203 y2[1] (numeric) = 1.4186878989752794945149502451523 absolute error = 6.8476154404680e-18 relative error = 4.8267243594690864653322362382440e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=579.8MB, alloc=4.6MB, time=38.47 NO POLE NO POLE x[1] = 0.433 y1[1] (analytic) = 1.9077110488007094784472880646543 y1[1] (numeric) = 1.9077110488007094637965441579165 absolute error = 1.46507439067378e-17 relative error = 7.6797499893645064173315937126549e-16 % h = 0.001 y2[1] (analytic) = 1.4195958196706873957902810089753 y2[1] (numeric) = 1.4195958196706873889073860378829 absolute error = 6.8828949710924e-18 relative error = 4.8484891796096360710754228740967e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.434 y1[1] (analytic) = 1.9072909991954848451043473650912 y1[1] (numeric) = 1.9072909991954848304165181409495 absolute error = 1.46878292241417e-17 relative error = 7.7008853029439025992004202115298e-16 % h = 0.001 y2[1] (analytic) = 1.4205033207703105858477408887429 y2[1] (numeric) = 1.4205033207703105789294852774792 absolute error = 6.9182556112637e-18 relative error = 4.8702847153585449752182636520426e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=583.6MB, alloc=4.6MB, time=38.72 NO POLE NO POLE x[1] = 0.435 y1[1] (analytic) = 1.9068700422993366238573075988539 y1[1] (numeric) = 1.9068700422993366091324491718097 absolute error = 1.47248584270442e-17 relative error = 7.7220041745942544630762627590532e-16 % h = 0.001 y2[1] (analytic) = 1.4214104013666480475368443818927 y2[1] (numeric) = 1.4214104013666480405831470976542 absolute error = 6.9536972842385e-18 relative error = 4.8921108763188353079062197220362e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.436 y1[1] (analytic) = 1.9064481785332216757746498366219 y1[1] (numeric) = 1.9064481785332216610128184461361 absolute error = 1.47618313904858e-17 relative error = 7.7431065563204665017320616550037e-16 % h = 0.001 y2[1] (analytic) = 1.4223170605526192601101769744414 y2[1] (numeric) = 1.422317060552619253120957061337 absolute error = 6.9892199131044e-18 relative error = 4.9139675723139022715388710583062e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=587.4MB, alloc=4.6MB, time=38.98 x[1] = 0.437 y1[1] (analytic) = 1.9060254083190037318160094899842 y1[1] (numeric) = 1.9060254083190037170172615003796 absolute error = 1.47987479896046e-17 relative error = 7.7641924000667852848691910850084e-16 % h = 0.001 y2[1] (analytic) = 1.4232232974215651131514557388264 y2[1] (numeric) = 1.4232232974215651061266323180461 absolute error = 7.0248234207803e-18 relative error = 4.9358547133869154541052308614035e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.438 y1[1] (analytic) = 1.9056017320794529709684805071144 y1[1] (numeric) = 1.9056017320794529561328724074774 absolute error = 1.48356080996370e-17 relative error = 7.7852616577168590816160099756932e-16 % h = 0.001 y2[1] (analytic) = 1.4241291110672488132345641952656 y2[1] (numeric) = 1.4241291110672488061740564652492 absolute error = 7.0605077300164e-18 relative error = 4.9577722098000113857679905387586e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.439 y1[1] (analytic) = 1.9051771502382455974764716165229 y1[1] (numeric) = 1.9051771502382455826040600206057 absolute error = 1.48724115959172e-17 relative error = 7.8063142810931676301134754218233e-16 % h = 0.001 y2[1] (analytic) = 1.425034500583856790160270218143 y2[1] (numeric) = 1.425034500583856783063997454749 absolute error = 7.0962727633940e-18 relative error = 4.9797199720333484426037535225575e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=591.2MB, alloc=4.6MB, time=39.23 NO POLE NO POLE x[1] = 0.44 y1[1] (analytic) = 1.9047516632199634171655373889984 y1[1] (numeric) = 1.9047516632199634022563790351203 absolute error = 1.49091583538781e-17 relative error = 7.8273502219571860785018617956965e-16 % h = 0.001 y2[1] (analytic) = 1.4259394650659996027697207507799 y2[1] (numeric) = 1.4259394650659995956376023074539 absolute error = 7.1321184433260e-18 relative error = 5.0016979107846558722701952383791e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.441 y1[1] (analytic) = 1.9043252714500934128606077938682 y1[1] (numeric) = 1.9043252714500933979147595448173 absolute error = 1.49458482490509e-17 relative error = 7.8483694320088664185753271963314e-16 % h = 0.001 y2[1] (analytic) = 1.4268440036087128443338075151701 y2[1] (numeric) = 1.426844003608712837165762823113 absolute error = 7.1680446920571e-18 relative error = 5.0237059369685739009348619355504e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=595.1MB, alloc=4.6MB, time=39.48 NO POLE NO POLE x[1] = 0.442 y1[1] (analytic) = 1.9038979753550273188990408313166 y1[1] (numeric) = 1.9038979753550273039165596742507 absolute error = 1.49824811570659e-17 relative error = 7.8693718628867484383451625566462e-16 % h = 0.001 y2[1] (analytic) = 1.4277481153074580475174983273898 y2[1] (numeric) = 1.4277481153074580403134468957263 absolute error = 7.2040514316635e-18 relative error = 5.0457439617156457693923838391997e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.443 y1[1] (analytic) = 1.9034697753620611947389237276696 y1[1] (numeric) = 1.9034697753620611797198667740173 absolute error = 1.50190569536523e-17 relative error = 7.8903574661675453968698775676719e-16 % h = 0.001 y2[1] (analytic) = 1.4286517992581235889182290544272 y2[1] (numeric) = 1.4286517992581235816780904703738 absolute error = 7.2401385840534e-18 relative error = 5.0678118963718731896168604372398e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=598.9MB, alloc=4.6MB, time=39.74 NO POLE NO POLE x[1] = 0.444 y1[1] (analytic) = 1.9030406718993949976630490853117 y1[1] (numeric) = 1.9030406718993949826074735706732 absolute error = 1.50555755146385e-17 relative error = 7.9113261933659918069118212675375e-16 % h = 0.001 y2[1] (analytic) = 1.4295550545570255931774516741134 y2[1] (numeric) = 1.4295550545570255859011456031467 absolute error = 7.2763060709667e-18 relative error = 5.0899096524977134994605280993237e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.445 y1[1] (analytic) = 1.9026106653961321545789932832218 y1[1] (numeric) = 1.9026106653961321394869565672694 absolute error = 1.50920367159524e-17 relative error = 7.9322779959346909404351793403549e-16 % h = 0.001 y2[1] (analytic) = 1.4304578803009088366644343266839 y2[1] (numeric) = 1.4304578803009088293518805127081 absolute error = 7.3125538139758e-18 relative error = 5.1120371418678492306639365472525e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=602.7MB, alloc=4.6MB, time=39.99 NO POLE NO POLE x[1] = 0.446 y1[1] (analytic) = 1.9021797562822791329157253280146 y1[1] (numeric) = 1.902179756282279117787284894393 absolute error = 1.51284404336216e-17 relative error = 7.9532128252639094850036231467821e-16 % h = 0.001 y2[1] (analytic) = 1.4313602755869476507314096742436 y2[1] (numeric) = 1.4313602755869476433825279397586 absolute error = 7.3488817344850e-18 relative error = 5.1341942764699800901120408188677e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.447 y1[1] (analytic) = 1.9017479449887450106171752588427 y1[1] (numeric) = 1.9017479449887449954523887150691 absolute error = 1.51647865437736e-17 relative error = 7.9741306326813718500471871818365e-16 % h = 0.001 y2[1] (analytic) = 1.4322622395127468245391683130648 y2[1] (numeric) = 1.4322622395127468171538785593337 absolute error = 7.3852897537311e-18 relative error = 5.1563809685044569776478889817037e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.448 y1[1] (analytic) = 1.9013152319473410452331921125551 y1[1] (numeric) = 1.9013152319473410300321171899193 absolute error = 1.52010749226358e-17 relative error = 7.9950313694519489313401662678369e-16 % h = 0.001 memory used=606.5MB, alloc=4.6MB, time=40.24 y2[1] (analytic) = 1.4331637711763425074521944131981 y2[1] (numeric) = 1.4331637711763425000304166204149 absolute error = 7.4217777927832e-18 relative error = 5.1785971303833588163899099460798e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.449 y1[1] (analytic) = 1.9008816175907802421083223581184 y1[1] (numeric) = 1.9008816175907802268710169115823 absolute error = 1.52373054465361e-17 relative error = 8.0159149867776620217542790918312e-16 % h = 0.001 y2[1] (analytic) = 1.4340648696762031110024411903364 y2[1] (numeric) = 1.4340648696762031035440954177932 absolute error = 7.4583457725432e-18 relative error = 5.2008426747300606270644760295580e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.45 y1[1] (analytic) = 1.9004471023526769216688406114864 y1[1] (numeric) = 1.9004471023526769063953626195836 absolute error = 1.52734779919028e-17 relative error = 8.0367814357973183213061179876416e-16 % h = 0.001 y2[1] (analytic) = 1.4349655341112302104208442462319 y2[1] (numeric) = 1.4349655341112302029258506324864 absolute error = 7.4949936137455e-18 relative error = 5.2231175143782453661517077212060e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=610.3MB, alloc=4.6MB, time=40.49 NO POLE NO POLE x[1] = 0.451 y1[1] (analytic) = 1.9000116866675462858084653438511 y1[1] (numeric) = 1.900011686667546270498872908586 absolute error = 1.53095924352651e-17 relative error = 8.0576306675864616631817244792213e-16 % h = 0.001 y2[1] (analytic) = 1.4358657635807594457356712462275 y2[1] (numeric) = 1.4358657635807594382039500092702 absolute error = 7.5317212369573e-18 relative error = 5.2454215623713369930022376515553e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.452 y1[1] (analytic) = 1.8995753709708039833731931975225 y1[1] (numeric) = 1.8995753709708039680275445442698 absolute error = 1.53456486532527e-17 relative error = 8.0784626331568493100644043015386e-16 % h = 0.001 y2[1] (analytic) = 1.4367655571845614224368068356284 y2[1] (numeric) = 1.4367655571845614148682782730495 absolute error = 7.5685285625789e-18 relative error = 5.2677547319619353135849741791367e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=614.1MB, alloc=4.6MB, time=40.74 NO POLE NO POLE x[1] = 0.453 y1[1] (analytic) = 1.899138155698765674745686424569 y1[1] (numeric) = 1.8991381556987656593640399019721 absolute error = 1.53816465225969e-17 relative error = 8.0992772834567177889556731196730e-16 % h = 0.001 y2[1] (analytic) = 1.4376649140228426117050721307038 y2[1] (numeric) = 1.4376649140228426040996566198603 absolute error = 7.6054155108435e-18 relative error = 5.2901169366109048084779033725055e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.454 y1[1] (analytic) = 1.898700041288646595529648863792 y1[1] (numeric) = 1.8987000412886465801120629436617 absolute error = 1.54175859201303e-17 relative error = 8.1200745693703116742621800846963e-16 % h = 0.001 y2[1] (analytic) = 1.4385638331962462502056785550742 y2[1] (numeric) = 1.4385638331962462425632965532565 absolute error = 7.6423820018177e-18 relative error = 5.3125080899869531254597646432240e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=617.9MB, alloc=4.6MB, time=41.00 NO POLE NO POLE x[1] = 0.455 y1[1] (analytic) = 1.8982610281785611193346267716233 y1[1] (numeric) = 1.8982610281785611038811600488366 absolute error = 1.54534667227867e-17 relative error = 8.1408544417175170065950761547814e-16 % h = 0.001 y2[1] (analytic) = 1.4394623138058532394449162281053 y2[1] (numeric) = 1.4394623138058532317654882727041 absolute error = 7.6794279554012e-18 relative error = 5.3349281059656550408081754152107e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.456 y1[1] (analytic) = 1.8978211168075223196616717221096 y1[1] (numeric) = 1.8978211168075223041723829145076 absolute error = 1.54892888076020e-17 relative error = 8.1616168512540210497297279448541e-16 % h = 0.001 y2[1] (analytic) = 1.4403603549531830446891775486958 y2[1] (numeric) = 1.4403603549531830369726242573686 absolute error = 7.7165532913272e-18 relative error = 5.3573768986289657179896102249413e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=621.8MB, alloc=4.6MB, time=41.25 NO POLE NO POLE x[1] = 0.457 y1[1] (analytic) = 1.8973803076154415308903036902821 y1[1] (numeric) = 1.8973803076154415153652516385679 absolute error = 1.55250520517142e-17 relative error = 8.1823617486709978586805574720040e-16 % h = 0.001 y2[1] (analytic) = 1.4412579557401945934454170555095 y2[1] (numeric) = 1.4412579557401945856916591263469 absolute error = 7.7537579291626e-18 relative error = 5.3798543822645966750095832413386e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.458 y1[1] (analytic) = 1.8969386010431279083672133319129 y1[1] (numeric) = 1.8969386010431278928064569995499 absolute error = 1.55607563323630e-17 relative error = 8.2030890845945824714816465243828e-16 % h = 0.001 y2[1] (analytic) = 1.442155115269287173502149083267 y2[1] (numeric) = 1.4421551152692871657111072949594 absolute error = 7.7910417883076e-18 relative error = 5.4023604713649776975803239767567e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.459 y1[1] (analytic) = 1.8964959975322879875971433709198 y1[1] (numeric) = 1.896495997532287972000741844029 absolute error = 1.55964015268908e-17 relative error = 8.2237988095860824963511066677347e-16 % h = 0.001 y2[1] (analytic) = 1.443051832643301330530085174175 y2[1] (numeric) = 1.4430518326433013227016803861783 absolute error = 7.8284047879967e-18 relative error = 5.4248950806271924518414757868996e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=625.6MB, alloc=4.6MB, time=41.50 NO POLE NO POLE x[1] = 0.46 y1[1] (analytic) = 1.8960524975255252425363899035004 y1[1] (numeric) = 1.8960524975255252269044023907575 absolute error = 1.56319875127429e-17 relative error = 8.2444908741417679922907715614547e-16 % h = 0.001 y2[1] (analytic) = 1.4439481069655197652415136439289 y2[1] (numeric) = 1.4439481069655197573756667966309 absolute error = 7.8658468472980e-18 relative error = 5.4474581249517366727538220196077e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.461 y1[1] (analytic) = 1.895608101466339642989365325457 y1[1] (numeric) = 1.8956081014663396273218511579902 absolute error = 1.56675141674668e-17 relative error = 8.2651652286921862009934351258559e-16 % h = 0.001 y2[1] (analytic) = 1.4448439373396682301075241429856 y2[1] (numeric) = 1.4448439373396682222041562578719 absolute error = 7.9033678851137e-18 relative error = 5.4700495194421111801575737389178e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=629.4MB, alloc=4.6MB, time=41.76 NO POLE NO POLE x[1] = 0.462 y1[1] (analytic) = 1.8951628097991272111086654861145 y1[1] (numeric) = 1.8951628097991271954056841174009 absolute error = 1.57029813687136e-17 relative error = 8.2858218236025833252625583570999e-16 % h = 0.001 y2[1] (analytic) = 1.4457393228699164256321804959556 y2[1] (numeric) = 1.4457393228699164176912126757755 absolute error = 7.9409678201801e-18 relative error = 5.4926691794040702313226348476971e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.463 y1[1] (analytic) = 1.8947166229691795769990845687246 y1[1] (numeric) = 1.8947166229691795612606955744874 absolute error = 1.57383889942372e-17 relative error = 8.3064606091721657047050290330802e-16 % h = 0.001 y2[1] (analytic) = 1.446634262660878896182745545017 y2[1] (numeric) = 1.4466342626608788882040989739489 absolute error = 7.9786465710681e-18 relative error = 5.5153170203452179646332358177131e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=633.2MB, alloc=4.6MB, time=42.03 NO POLE NO POLE x[1] = 0.464 y1[1] (analytic) = 1.8942695414226835334260220933066 y1[1] (numeric) = 1.8942695414226835176522851714114 absolute error = 1.57737369218952e-17 relative error = 8.3270815356342573178668483980587e-16 % h = 0.001 y2[1] (analytic) = 1.4475287558176159253750621672001 y2[1] (numeric) = 1.4475287558176159173586581110173 absolute error = 8.0164040561828e-18 relative error = 5.5379929579739842632318023208635e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.465 y1[1] (analytic) = 1.8938215656067205896287273334791 y1[1] (numeric) = 1.8938215656067205738197023038303 absolute error = 1.58090250296488e-17 relative error = 8.3476845531559294002836086912904e-16 % h = 0.001 y2[1] (analytic) = 1.4484228014456344310131950802375 y2[1] (numeric) = 1.4484228014456344229589548864737 absolute error = 8.0542401937638e-18 relative error = 5.5606969081990873721946238695621e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=637.0MB, alloc=4.6MB, time=42.28 NO POLE NO POLE x[1] = 0.466 y1[1] (analytic) = 1.8933726959692665242388273340021 y1[1] (numeric) = 1.8933726959692665083945741384391 absolute error = 1.58442531955630e-17 relative error = 8.3682696118377879107634361117049e-16 % h = 0.001 y2[1] (analytic) = 1.4493163986508888595824384974118 y2[1] (numeric) = 1.4493163986508888514902835955262 absolute error = 8.0921549018856e-18 relative error = 5.5834287871290671784600919869648e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.467 y1[1] (analytic) = 1.8929229329591909373045856104637 y1[1] (numeric) = 1.8929229329591909214251643126566 absolute error = 1.58794212978071e-17 relative error = 8.3888366617139191061136951617723e-16 % h = 0.001 y2[1] (analytic) = 1.4502095465397820802947951384674 y2[1] (numeric) = 1.4502095465397820721646470400102 absolute error = 8.1301480984572e-18 relative error = 5.6061885110712682503395758761597e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=640.8MB, alloc=4.6MB, time=42.54 NO POLE NO POLE x[1] = 0.468 y1[1] (analytic) = 1.892472277026256801421339506815 y1[1] (numeric) = 1.8924722770262567855068102921606 absolute error = 1.59145292146544e-17 relative error = 8.4093856527514122368516179129638e-16 % h = 0.001 y2[1] (analytic) = 1.4511022442191662786860325511832 y2[1] (numeric) = 1.4511022442191662705178128499604 absolute error = 8.1682197012228e-18 relative error = 5.6289759965315843574887139265403e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.469 y1[1] (analytic) = 1.8920207286211200119685650802794 y1[1] (numeric) = 1.8920207286211199960189882557966 absolute error = 1.59495768244828e-17 relative error = 8.4299165348503571684864445559234e-16 % h = 0.001 y2[1] (analytic) = 1.4519944907963438497634231466225 y2[1] (numeric) = 1.4519944907963438415570535188609 absolute error = 8.2063696277616e-18 relative error = 5.6517911602135837784182162015140e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.47 y1[1] (analytic) = 1.8915682881953289364540192765334 y1[1] (numeric) = 1.8915682881953289204694552707584 absolute error = 1.59845640057750e-17 relative error = 8.4504292578436304597666612128537e-16 % h = 0.001 y2[1] (analytic) = 1.4528862853790682907032748003964 y2[1] (numeric) = 1.4528862853790682824586770049085 absolute error = 8.2445977954879e-18 relative error = 5.6746339190178440014326932394232e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=644.6MB, alloc=4.6MB, time=42.79 NO POLE NO POLE x[1] = 0.471 y1[1] (analytic) = 1.8911149562013239629654100509787 y1[1] (numeric) = 1.8911149562013239469459194138603 absolute error = 1.60194906371184e-17 relative error = 8.4709237714965224231162087464763e-16 % h = 0.001 y2[1] (analytic) = 1.4537776270755450930973593224828 y2[1] (numeric) = 1.4537776270755450848144552008314 absolute error = 8.2829041216514e-18 relative error = 5.6975041900414261331459640361720e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.472 y1[1] (analytic) = 1.890660733092437047730045984399 y1[1] (numeric) = 1.8906607330924370316756893871932 absolute error = 1.60543565972058e-17 relative error = 8.4914000255067867062680015303766e-16 % h = 0.001 y2[1] (analytic) = 1.4546685149944326347473465492482 y2[1] (numeric) = 1.4546685149944326264260580259111 absolute error = 8.3212885233371e-18 relative error = 5.7204018905770759510229805996684e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=648.5MB, alloc=4.6MB, time=43.04 NO POLE NO POLE x[1] = 0.473 y1[1] (analytic) = 1.8902056193228912617829178333128 y1[1] (numeric) = 1.8902056193228912456937560684779 absolute error = 1.60891617648349e-17 relative error = 8.5118579695040550189528617263975e-16 % h = 0.001 y2[1] (analytic) = 1.4555589482448430710063522633121 y2[1] (numeric) = 1.4555589482448430626466013458462 absolute error = 8.3597509174659e-18 relative error = 5.7433269381129084953273396483999e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.474 y1[1] (analytic) = 1.8897496153478003367436653469044 y1[1] (numeric) = 1.889749615347800320619759327995 absolute error = 1.61239060189094e-17 relative error = 8.5322975530500976119272945088328e-16 % h = 0.001 y2[1] (analytic) = 1.4564489259363432256667085997792 y2[1] (numeric) = 1.4564489259363432172684173789854 absolute error = 8.3982912207938e-18 relative error = 5.7662792503311322686100628820774e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=652.3MB, alloc=4.6MB, time=43.29 NO POLE NO POLE x[1] = 0.475 y1[1] (analytic) = 1.8892927216231682097028835735269 y1[1] (numeric) = 1.8892927216231681935442943350884 absolute error = 1.61585892384385e-17 relative error = 8.5527187256382371801091017135757e-16 % h = 0.001 y2[1] (analytic) = 1.4573384471789554813930660511461 y2[1] (numeric) = 1.4573384471789554729561567012328 absolute error = 8.4369093499133e-18 relative error = 5.7892587451082874054993822284439e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.476 y1[1] (analytic) = 1.8888349386058885672182237704341 y1[1] (numeric) = 1.8888349386058885510250124678967 absolute error = 1.61932113025374e-17 relative error = 8.5731214366932912674310462437867e-16 % h = 0.001 y2[1] (analytic) = 1.4582275110831586696999366378509 y2[1] (numeric) = 1.4582275110831586612243314165985 absolute error = 8.4756052212524e-18 relative error = 5.8122653405138368332016883009768e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=656.1MB, alloc=4.6MB, time=43.55 NO POLE NO POLE x[1] = 0.477 y1[1] (analytic) = 1.8883762667537443884207449206015 y1[1] (numeric) = 1.8883762667537443721929728301743 absolute error = 1.62277720904272e-17 relative error = 8.5935056355711967788130225352022e-16 % h = 0.001 y2[1] (analytic) = 1.4591161167598889604727882670001 y2[1] (numeric) = 1.4591161167598889519584095159249 absolute error = 8.5143787510752e-18 relative error = 5.8352989548098588359239179914252e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.478 y1[1] (analytic) = 1.8879167065254074872319727502484 y1[1] (numeric) = 1.8879167065254074709697012688126 absolute error = 1.62622714814358e-17 relative error = 8.6138712715591635534107201742359e-16 % h = 0.001 y2[1] (analytic) = 1.4600042633205407510318007582506 y2[1] (numeric) = 1.4600042633205407424785709027684 absolute error = 8.5532298554822e-18 relative error = 5.8583595064505349625736372965201e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=659.9MB, alloc=4.6MB, time=43.80 NO POLE NO POLE x[1] = 0.479 y1[1] (analytic) = 1.8874562583804380536921240299613 y1[1] (numeric) = 1.8874562583804380373954146749639 absolute error = 1.62967093549974e-17 relative error = 8.6342182938750863476303302831711e-16 % h = 0.001 y2[1] (analytic) = 1.4608919498769675547373944731655 y2[1] (numeric) = 1.4608919498769675461452360227552 absolute error = 8.5921584504103e-18 relative error = 5.8814469140814341509114649020515e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.48 y1[1] (analytic) = 1.8869949227792841943999548311587 y1[1] (numeric) = 1.8869949227792841780688692405057 absolute error = 1.63310855906530e-17 relative error = 8.6545466516674858251995215532860e-16 % h = 0.001 y2[1] (analytic) = 1.4617791755414828891366429425886 y2[1] (numeric) = 1.4617791755414828805054784909561 absolute error = 8.6311644516325e-18 relative error = 5.9045610965385939352723763170355e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.481 y1[1] (analytic) = 1.8865327001832814720646922980094 y1[1] (numeric) = 1.8865327001832814556992922299586 absolute error = 1.63654000680508e-17 relative error = 8.6748562940153963768999058287286e-16 % h = 0.001 y2[1] (analytic) = 1.4626659394268611636496813457004 y2[1] (numeric) = 1.4626659394268611549794335709417 absolute error = 8.6702477747587e-18 relative error = 5.9277019728483567553024413581847e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=663.7MB, alloc=4.6MB, time=44.05 NO POLE NO POLE x[1] = 0.482 y1[1] (analytic) = 1.8860695910546524441705103828338 y1[1] (numeric) = 1.8860695910546524277708577158882 absolute error = 1.63996526669456e-17 relative error = 8.6951471699277234965722713541250e-16 % h = 0.001 y2[1] (analytic) = 1.4635522406463385667952231544191 y2[1] (numeric) = 1.4635522406463385580858148191836 absolute error = 8.7094083352355e-18 relative error = 5.9508694622265232982725977577273e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.483 y1[1] (analytic) = 1.8856055958565062007540108804759 y1[1] (numeric) = 1.8856055958565061843201676132757 absolute error = 1.64338432672002e-17 relative error = 8.7154192283436608007905904985109e-16 % h = 0.001 y2[1] (analytic) = 1.4644380783136139529542977177052 y2[1] (numeric) = 1.4644380783136139442056516693591 absolute error = 8.7486460483461e-18 relative error = 5.9740634840775769117624015249329e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=667.5MB, alloc=4.6MB, time=44.31 NO POLE NO POLE x[1] = 0.484 y1[1] (analytic) = 1.8851407150528379012951719841238 y1[1] (numeric) = 1.8851407150528378848272002353389 absolute error = 1.64679717487849e-17 relative error = 8.7356724181320997053653789184274e-16 % h = 0.001 y2[1] (analytic) = 1.4653234515428497286713220221064 y2[1] (numeric) = 1.4653234515428497198833611928952 absolute error = 8.7879608292112e-18 relative error = 5.9972839579945929839880539653932e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.485 y1[1] (analytic) = 1.8846749491085283107222274715935 y1[1] (numeric) = 1.8846749491085282942201894798161 absolute error = 1.65020379917774e-17 relative error = 8.7559066880912503911569756427065e-16 % h = 0.001 y2[1] (analytic) = 1.4662083594486727384916203275428 y2[1] (numeric) = 1.4662083594486727296642677347548 absolute error = 8.8273525927880e-18 relative error = 6.0205308037578525066264530150089e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=671.3MB, alloc=4.6MB, time=44.56 NO POLE NO POLE x[1] = 0.486 y1[1] (analytic) = 1.884208298489343334530940517158 y1[1] (numeric) = 1.8842082984893433179948986407941 absolute error = 1.65360418763639e-17 relative error = 8.7761219869488990025964329597957e-16 % h = 0.001 y2[1] (analytic) = 1.4670928011461751503345058408895 y2[1] (numeric) = 1.4670928011461751414676845870182 absolute error = 8.8668212538713e-18 relative error = 6.0438039413348917730004547103496e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.487 y1[1] (analytic) = 1.8837407636619335530187370096079 y1[1] (numeric) = 1.8837407636619335364487537267694 absolute error = 1.65699832828385e-17 relative error = 8.7963182633617626919980506877889e-16 % h = 0.001 y2[1] (analytic) = 1.4679767757509153404010390543462 y2[1] (numeric) = 1.4679767757509153314946723272529 absolute error = 8.9063667270933e-18 relative error = 6.0671032908796660404118664001224e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=675.2MB, alloc=4.6MB, time=44.81 NO POLE NO POLE x[1] = 0.488 y1[1] (analytic) = 1.8832723450938337546341641423728 y1[1] (numeric) = 1.883272345093833738030302050769 absolute error = 1.66038620916038e-17 relative error = 8.8164954659154808157702045491808e-16 % h = 0.001 y2[1] (analytic) = 1.4688602823789187776155778409106 y2[1] (numeric) = 1.468860282378918768669588913987 absolute error = 8.9459889269236e-18 relative error = 6.0904287727318520920301544801420e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.489 y1[1] (analytic) = 1.882803043253462468442140926205 y1[1] (numeric) = 1.8828030432534624518044627430339 absolute error = 1.66376781831711e-17 relative error = 8.8366535431243935907488867317364e-16 % h = 0.001 y2[1] (analytic) = 1.4697433201466789076002348654785 y2[1] (numeric) = 1.4697433201466788986145470978092 absolute error = 8.9856877676693e-18 relative error = 6.1137803074162210740310495838169e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=679.0MB, alloc=4.6MB, time=45.07 NO POLE NO POLE x[1] = 0.49 y1[1] (analytic) = 1.8823328586101214957054681591367 y1[1] (numeric) = 1.8823328586101214790340367209762 absolute error = 1.66714314381605e-17 relative error = 8.8567924434312672170656159553988e-16 % h = 0.001 y2[1] (analytic) = 1.470625888171158036181358337188 y2[1] (numeric) = 1.4706258881711580271558951737122 absolute error = 9.0254631634758e-18 relative error = 6.1371578156424893021736040025318e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.491 y1[1] (analytic) = 1.8818617916339954405830662721614 y1[1] (numeric) = 1.8818617916339954238779445348603 absolute error = 1.67051217373011e-17 relative error = 8.8769121152070716507268380275902e-16 % h = 0.001 y2[1] (analytic) = 1.4715079855697882124271525965983 y2[1] (numeric) = 1.4715079855697882033618375682726 absolute error = 9.0653150283257e-18 relative error = 6.1605612183038781375519290046103e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.492 y1[1] (analytic) = 1.8813898427961512399454103523624 y1[1] (numeric) = 1.8813898427961512232066613909312 absolute error = 1.67387489614312e-17 relative error = 8.8970125067507579648878323502108e-16 % h = 0.001 y2[1] (analytic) = 1.4723896114604721112155555001594 y2[1] (numeric) = 1.4723896114604721021103122241193 absolute error = 9.1052432760401e-18 relative error = 6.1839904364773087684999219111267e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=682.8MB, alloc=4.6MB, time=45.32 NO POLE NO POLE x[1] = 0.493 y1[1] (analytic) = 1.8809170125685376923076325280146 y1[1] (numeric) = 1.8809170125685376755353195365159 absolute error = 1.67723129914987e-17 relative error = 8.9170935662891416294610739460869e-16 % h = 0.001 y2[1] (analytic) = 1.4732707649615839153314900341658 y2[1] (numeric) = 1.4732707649615839061862422138877 absolute error = 9.1452478202781e-18 relative error = 6.2074453914223742488584804811226e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.494 y1[1] (analytic) = 1.8804433014239849858807627825173 y1[1] (numeric) = 1.8804433014239849690749490739564 absolute error = 1.68058137085609e-17 relative error = 8.9371552419764664634876022658728e-16 % h = 0.001 y2[1] (analytic) = 1.4741514451919701970926080610182 y2[1] (numeric) = 1.4741514451919701879072794864809 absolute error = 9.1853285745373e-18 relative error = 6.2309260045809933095653749715484e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=686.6MB, alloc=4.6MB, time=45.57 NO POLE NO POLE x[1] = 0.495 y1[1] (analytic) = 1.8799687098362042257415801458792 y1[1] (numeric) = 1.8799687098362042089023291520939 absolute error = 1.68392509937853e-17 relative error = 8.9571974818944997742714974460782e-16 % h = 0.001 y2[1] (analytic) = 1.4750316512709507995026445721214 y2[1] (numeric) = 1.4750316512709507902771591199679 absolute error = 9.2254854521535e-18 relative error = 6.2544321975765227804129057927532e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.496 y1[1] (analytic) = 1.8794932382797869601215470938628 y1[1] (numeric) = 1.8794932382797869432489223654136 absolute error = 1.68726247284492e-17 relative error = 8.9772202340519890928029773839262e-16 % h = 0.001 y2[1] (analytic) = 1.475911382318319716931501294139 y2[1] (numeric) = 1.4759113823183197076657829278377 absolute error = 9.2657183663013e-18 relative error = 6.2779638922134827136419617916246e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=690.4MB, alloc=4.6MB, time=45.85 NO POLE NO POLE x[1] = 0.497 y1[1] (analytic) = 1.8790168872302047058153008658165 y1[1] (numeric) = 1.8790168872302046889093660718765 absolute error = 1.69059347939400e-17 relative error = 8.9972234463844905420323297884307e-16 % h = 0.001 y2[1] (analytic) = 1.4767906374543459753211789685932 y2[1] (numeric) = 1.4767906374543459660151517385996 absolute error = 9.3060272299936e-18 relative error = 6.3015210104765373661345446335237e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.498 y1[1] (analytic) = 1.8785396571638084727091762926628 y1[1] (numeric) = 1.8785396571638084557699952209068 absolute error = 1.69391810717560e-17 relative error = 9.0172070667544630293064715078384e-16 % h = 0.001 y2[1] (analytic) = 1.4776694157997745119166780989527 y2[1] (numeric) = 1.4776694157997745025702661428702 absolute error = 9.3464119560825e-18 relative error = 6.3251034745304269939396038508309e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=694.2MB, alloc=4.6MB, time=46.11 NO POLE NO POLE x[1] = 0.499 y1[1] (analytic) = 1.8780615485578282874302356064793 y1[1] (numeric) = 1.8780615485578282704578721629733 absolute error = 1.69723634435060e-17 relative error = 9.0371710429507235477975302721019e-16 % h = 0.001 y2[1] (analytic) = 1.4785477164758270545209884343788 y2[1] (numeric) = 1.4785477164758270451341159771198 absolute error = 9.3868724572590e-18 relative error = 6.3487112067190880206279837299929e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5 y1[1] (analytic) = 1.8775825618903727161162815826038 y1[1] (numeric) = 1.8775825618903726991107997916944 absolute error = 1.70054817909094e-17 relative error = 9.0571153226881678679799710020717e-16 % h = 0.001 y2[1] (analytic) = 1.4794255386042030002732879352156 y2[1] (numeric) = 1.4794255386042029908458792891625 absolute error = 9.4274086460531e-18 relative error = 6.3723441295650464553106325158691e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=698.1MB, alloc=4.6MB, time=46.36 NO POLE NO POLE x[1] = 0.501 y1[1] (analytic) = 1.8771026976404283863073312442114 y1[1] (numeric) = 1.8771026976404283692687952484143 absolute error = 1.70385359957971e-17 relative error = 9.0770398536079169109555371034283e-16 % h = 0.001 y2[1] (analytic) = 1.4803028813070802939494724420977 y2[1] (numeric) = 1.4803028813070802844814520072636 absolute error = 9.4680204348341e-18 relative error = 6.3960021657689483175667811081865e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.502 y1[1] (analytic) = 1.8766219562878595079590282378478 y1[1] (numeric) = 1.8766219562878594908875022977367 absolute error = 1.70715259401111e-17 relative error = 9.0969445832767705337064710630062e-16 % h = 0.001 y2[1] (analytic) = 1.4811797437071163057841377482187 y2[1] (numeric) = 1.481179743707116296275430012408 absolute error = 9.5087077358107e-18 relative error = 6.4196852382089564467266147134465e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.503 y1[1] (analytic) = 1.8761403383134073935784728664688 y1[1] (numeric) = 1.876140338313407376474021360564 absolute error = 1.71044515059048e-17 relative error = 9.1168294591870335029792176772996e-16 % h = 0.001 y2[1] (analytic) = 1.4820561249274487088131362528522 y2[1] (numeric) = 1.4820561249274486992636657918211 absolute error = 9.5494704610311e-18 relative error = 6.4433932699401491973584373721129e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=701.9MB, alloc=4.6MB, time=46.62 NO POLE NO POLE x[1] = 0.504 y1[1] (analytic) = 1.8756578441986899774829496441145 y1[1] (numeric) = 1.8756578441986899603456370687712 absolute error = 1.71373125753433e-17 relative error = 9.1366944287563411217135672433291e-16 % h = 0.001 y2[1] (analytic) = 1.4829320240916963557358308536409 y2[1] (numeric) = 1.4829320240916963461455223312578 absolute error = 9.5903085223831e-18 relative error = 6.4671261841939210133516193114452e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.505 y1[1] (analytic) = 1.8751744744262013341820331134515 y1[1] (numeric) = 1.8751744744262013170119240827478 absolute error = 1.71701090307037e-17 relative error = 9.1565394393274845071660359310113e-16 % h = 0.001 y2[1] (analytic) = 1.4838074403239601552961692154743 y2[1] (numeric) = 1.4838074403239601456649473838801 absolute error = 9.6312218315942e-18 relative error = 6.4908839043773848730186291722247e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=705.7MB, alloc=4.6MB, time=46.88 NO POLE NO POLE x[1] = 0.506 y1[1] (analytic) = 1.8746902294793111958835535440366 y1[1] (numeric) = 1.8746902294793111786807127896615 absolute error = 1.72028407543751e-17 relative error = 9.1763644381680754934357460736924e-16 % h = 0.001 y2[1] (analytic) = 1.4846823727488239481817020349524 y2[1] (numeric) = 1.4846823727488239385094917347202 absolute error = 9.6722103002322e-18 relative error = 6.5146663540731133700403881619090e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.507 y1[1] (analytic) = 1.8742051098422644691239050052961 y1[1] (numeric) = 1.874205109842264451888397376437 absolute error = 1.72355076288591e-17 relative error = 9.1961693724704777152128862616499e-16 % h = 0.001 y2[1] (analytic) = 1.4855568204913553824396694014904 y2[1] (numeric) = 1.4855568204913553727263955617861 absolute error = 9.7132738397043e-18 relative error = 6.5384734570378707385595185267109e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=709.5MB, alloc=4.6MB, time=47.13 NO POLE NO POLE x[1] = 0.508 y1[1] (analytic) = 1.8737191160001807505231791838722 y1[1] (numeric) = 1.8737191160001807332550696471029 absolute error = 1.72681095367693e-17 relative error = 9.2159541893512038073580071104550e-16 % h = 0.001 y2[1] (analytic) = 1.4864307826771067884092798390526 y2[1] (numeric) = 1.486430782677106778654867477794 absolute error = 9.7544123612586e-18 relative error = 6.5623051372029637125657848130701e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.509 y1[1] (analytic) = 1.873232248439053841665609190164 y1[1] (numeric) = 1.8732322484390538243649628293314 absolute error = 1.73006463608326e-17 relative error = 9.2357188358512724923877516828688e-16 % h = 0.001 y2[1] (analytic) = 1.4873042584321160531693070963062 y2[1] (numeric) = 1.4873042584321160433736813203233 absolute error = 9.7956257759829e-18 relative error = 6.5861613186727755373902527935607e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=713.3MB, alloc=4.6MB, time=47.39 NO POLE NO POLE x[1] = 0.51 y1[1] (analytic) = 1.8727445076457512631058084735755 y1[1] (numeric) = 1.872744507645751245772690489687 absolute error = 1.73331179838885e-17 relative error = 9.2554632589354981938884413804879e-16 % h = 0.001 y2[1] (analytic) = 1.4881772468829074945001302376746 y2[1] (numeric) = 1.4881772468829074846632162428687 absolute error = 9.8369139948059e-18 relative error = 6.6100419257249176116064584815109e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.511 y1[1] (analytic) = 1.8722558941080137675012908401947 y1[1] (numeric) = 1.8722558941080137501357665513052 absolute error = 1.73655242888895e-17 relative error = 9.2751874054923669873367462153594e-16 % h = 0.001 y2[1] (analytic) = 1.4890497471564927343593430733201 y2[1] (numeric) = 1.4890497471564927244810661448235 absolute error = 9.8782769284966e-18 relative error = 6.6339468828091715277760644797534e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=717.1MB, alloc=4.6MB, time=47.65 NO POLE NO POLE x[1] = 0.512 y1[1] (analytic) = 1.8717664083144548518717584403411 y1[1] (numeric) = 1.8717664083144548344738932814396 absolute error = 1.73978651589015e-17 relative error = 9.2948912223339122760434120729598e-16 % h = 0.001 y2[1] (analytic) = 1.4899217583803715718700594525215 y2[1] (numeric) = 1.4899217583803715619503449648565 absolute error = 9.9197144876650e-18 relative error = 6.6578761145473071190584739350623e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.513 y1[1] (analytic) = 1.8712760507545602689856454666536 y1[1] (numeric) = 1.8712760507545602515555049895495 absolute error = 1.74301404771041e-17 relative error = 9.3145746561955367525460605579328e-16 % h = 0.001 y2[1] (analytic) = 1.4907932796825328558210414322121 y2[1] (numeric) = 1.4907932796825328458598148494503 absolute error = 9.9612265827618e-18 relative error = 6.6818295457322301209824336818624e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.514 y1[1] (analytic) = 1.8707848219186875378744061761341 y1[1] (numeric) = 1.8707848219186875204120560493438 absolute error = 1.74623501267903e-17 relative error = 9.3342376537355132795120895423838e-16 % h = 0.001 y2[1] (analytic) = 1.4916643101914553566777778206244 y2[1] (numeric) = 1.4916643101914553466749646965458 absolute error = 1.00028131240786e-17 relative error = 6.7058071013274677796661731894625e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=720.9MB, alloc=4.6MB, time=47.91 NO POLE NO POLE x[1] = 0.515 y1[1] (analytic) = 1.8702927222980654534750367218189 y1[1] (numeric) = 1.8702927222980654359805427304518 absolute error = 1.74944939913671e-17 relative error = 9.3538801615349661120591852371262e-16 % h = 0.001 y2[1] (analytic) = 1.4925348490361086381036410850348 y2[1] (numeric) = 1.4925348490361086280591670632863 absolute error = 1.00444740217485e-17 relative error = 6.7298087064669240248416155440794e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.516 y1[1] (analytic) = 1.8697997523847935954013211515137 y1[1] (numeric) = 1.869799752384793577874749197158 absolute error = 1.75265719543557e-17 relative error = 9.3735021260976380830095231791796e-16 % h = 0.001 y2[1] (analytic) = 1.4934048953459539279902511025232 y2[1] (numeric) = 1.4934048953459539179040419167777 absolute error = 1.00862091857455e-17 relative error = 6.7538342864538317316859083683438e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=724.8MB, alloc=4.6MB, time=48.16 NO POLE NO POLE x[1] = 0.517 y1[1] (analytic) = 1.8693059126718418358442928023069 y1[1] (numeric) = 1.8693059126718418182857089029153 absolute error = 1.75585838993916e-17 relative error = 9.3931034938496038439836920968631e-16 % h = 0.001 y2[1] (analytic) = 1.4942744482509449889961747234587 y2[1] (numeric) = 1.4942744482509449788681561975733 absolute error = 1.01280185258854e-17 relative error = 6.7778837667607122414856964620336e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.518 y1[1] (analytic) = 1.8688112036530498466024031903571 y1[1] (numeric) = 1.8688112036530498290118734801323 absolute error = 1.75905297102248e-17 relative error = 9.4126842111390360815376543971571e-16 % h = 0.001 y2[1] (analytic) = 1.4951435068815289885930906090811 y2[1] (numeric) = 1.495143506881528978423188657256 absolute error = 1.01699019518251e-17 relative error = 6.8019570730282646600745593549884e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=728.6MB, alloc=4.6MB, time=48.41 NO POLE NO POLE x[1] = 0.519 y1[1] (analytic) = 1.8683156258231266052418913657465 y1[1] (numeric) = 1.8683156258231265876194820950266 absolute error = 1.76224092707199e-17 relative error = 9.4322442242359177571467625337906e-16 % h = 0.001 y2[1] (analytic) = 1.4960120703686473686185492970897 y2[1] (numeric) = 1.496012070368647358406689924026 absolute error = 1.02118593730637e-17 relative error = 6.8260541310654619962624629189703e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.52 y1[1] (analytic) = 1.8678191796776499003878475719885 y1[1] (numeric) = 1.867819179677649882733625107132 absolute error = 1.76542224648565e-17 relative error = 9.4517834793319144233625116078648e-16 % h = 0.001 y2[1] (analytic) = 1.4968801378437367143344589425478 y2[1] (numeric) = 1.496880137843736704080568243606 absolute error = 1.02538906989418e-17 relative error = 6.8501748668484442353374643534538e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=732.4MB, alloc=4.6MB, time=48.67 NO POLE NO POLE x[1] = 0.521 y1[1] (analytic) = 1.8673218657130658361464659190853 y1[1] (numeric) = 1.867321865713065818460496742356 absolute error = 1.76859691767293e-17 relative error = 9.4713019225400855975133797723074e-16 % h = 0.001 y2[1] (analytic) = 1.4977477084387296229904276756926 y2[1] (numeric) = 1.4977477084387296126944318370506 absolute error = 1.02959958386420e-17 relative error = 6.8743192065202162380525102434930e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.522 y1[1] (analytic) = 1.8668236844266883356589816478407 y1[1] (numeric) = 1.8668236844266883179413323572925 absolute error = 1.77176492905482e-17 relative error = 9.4907994998945955933762835403355e-16 % h = 0.001 y2[1] (analytic) = 1.4986147812860555718910940133795 y2[1] (numeric) = 1.4986147812860555615529193121904 absolute error = 1.03381747011891e-17 relative error = 6.8984870763901462774774910969436e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=736.2MB, alloc=4.6MB, time=48.92 NO POLE NO POLE x[1] = 0.523 y1[1] (analytic) = 1.866324636316698643787789431451 y1[1] (numeric) = 1.866324636316698626038526740812 absolute error = 1.77492626906390e-17 relative error = 9.5102761573507452960180875213883e-16 % h = 0.001 y2[1] (analytic) = 1.4994813555186417859665772569024 y2[1] (numeric) = 1.4994813555186417755861500614521 absolute error = 1.03804271954503e-17 relative error = 6.9226784029334660913008380881440e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.524 y1[1] (analytic) = 1.865824721882144828935240028212 y1[1] (numeric) = 1.8658247218821448111544307667694 absolute error = 1.77808092614426e-17 relative error = 9.5297318407841999728294477100687e-16 % h = 0.001 y2[1] (analytic) = 1.5003474302699141048451803058119 y2[1] (numeric) = 1.5003474302699140944224270756769 absolute error = 1.04227532301350e-17 relative error = 6.9468931127905058390415628140460e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.525 y1[1] (analytic) = 1.8653239416229412839956134665064 y1[1] (numeric) = 1.8653239416229412661833245789901 absolute error = 1.78122888875163e-17 relative error = 9.5491664959913415714312437312360e-16 % h = 0.001 y2[1] (analytic) = 1.5012130046737978494274778151016 y2[1] (numeric) = 1.5012130046737978389623251013065 absolute error = 1.04651527137951e-17 relative error = 6.9711311327662645498007913746780e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=740.0MB, alloc=4.6MB, time=49.17 NO POLE NO POLE x[1] = 0.526 y1[1] (analytic) = 1.864822296039868226440767810055 y1[1] (numeric) = 1.8648222960398682085970663565216 absolute error = 1.78437014535334e-17 relative error = 9.5685800686887098882610640495659e-16 % h = 0.001 y2[1] (analytic) = 1.5020780778647186879609231217462 y2[1] (numeric) = 1.5020780778647186774532975669208 absolute error = 1.05076255548254e-17 relative error = 6.9953923898300484089245742274509e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.527 y1[1] (analytic) = 1.8643197856345711975399634177419 y1[1] (numeric) = 1.8643197856345711796649165734586 absolute error = 1.78750468442833e-17 relative error = 9.5879725045127109487984791776234e-16 % h = 0.001 y2[1] (analytic) = 1.5029426489776035016141078660558 y2[1] (numeric) = 1.5029426489776034910639362045925 absolute error = 1.05501716614633e-17 relative error = 7.0196768111146443222462666129142e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=743.8MB, alloc=4.6MB, time=49.43 NO POLE NO POLE x[1] = 0.528 y1[1] (analytic) = 1.8638164109095605607143634781479 y1[1] (numeric) = 1.8638164109095605428080385334758 absolute error = 1.79063249446721e-17 relative error = 9.6073437490195931007314738429706e-16 % h = 0.001 y2[1] (analytic) = 1.5038067171478812495498087336605 y2[1] (numeric) = 1.5038067171478812389570177918712 absolute error = 1.05927909417893e-17 relative error = 7.0439843239160280970935662424136e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.529 y1[1] (analytic) = 1.8633121723682109990267124642498 y1[1] (numeric) = 1.8633121723682109810891768245271 absolute error = 1.79375356397227e-17 relative error = 9.6266937476851546472056441636899e-16 % h = 0.001 y2[1] (analytic) = 1.504670281511483833495956245149 y2[1] (numeric) = 1.5046702815114838228604729414222 absolute error = 1.06354833037268e-17 relative error = 7.0683148556926081942426082885340e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=747.6MB, alloc=4.6MB, time=49.68 NO POLE NO POLE x[1] = 0.53 y1[1] (analytic) = 1.8628070705147610118066950185642 y1[1] (numeric) = 1.8628070705147609938380162039896 absolute error = 1.79686788145746e-17 relative error = 9.6460224459042898768020118571436e-16 % h = 0.001 y2[1] (analytic) = 1.5055333412048469618136610224661 y2[1] (numeric) = 1.5055333412048469511354123674232 absolute error = 1.06782486550429e-17 relative error = 7.0926683340651360842993090037263e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.531 y1[1] (analytic) = 1.8623011058543124104124786433371 y1[1] (numeric) = 1.8623011058543123924127242888524 absolute error = 1.79997543544847e-17 relative error = 9.6653297889910712427652800750192e-16 % h = 0.001 y2[1] (analytic) = 1.5063958953649110130614334641129 y2[1] (numeric) = 1.5063958953649110023403465607654 absolute error = 1.07210869033475e-17 relative error = 7.1170446868154881777148415261867e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=751.5MB, alloc=4.6MB, time=49.93 NO POLE NO POLE x[1] = 0.532 y1[1] (analytic) = 1.861794278892829813128944434192 y1[1] (numeric) = 1.861794278892829795098182289365 absolute error = 1.80307621448270e-17 relative error = 9.6846157221782407661594306658502e-16 % h = 0.001 y2[1] (analytic) = 1.5072579431291218990547332650042 y2[1] (numeric) = 1.5072579431291218882907353089098 absolute error = 1.07639979560944e-17 relative error = 7.1414438418867786382220105911424e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.533 y1[1] (analytic) = 1.8612865901371401392031109589661 y1[1] (numeric) = 1.861286590137140121141408887873 absolute error = 1.80617020710931e-17 relative error = 9.7038801906171303366283081847408e-16 % h = 0.001 y2[1] (analytic) = 1.5081194836354319274199857215036 y2[1] (numeric) = 1.5081194836354319166130040009226 absolute error = 1.08069817205810e-17 relative error = 7.1658657273825432896529276941794e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=755.3MB, alloc=4.6MB, time=50.19 NO POLE NO POLE x[1] = 0.534 y1[1] (analytic) = 1.8607780400949321020172572462665 y1[1] (numeric) = 1.8607780400949320839246832273742 absolute error = 1.80925740188923e-17 relative error = 9.7231231393773668364047725243465e-16 % h = 0.001 y2[1] (analytic) = 1.508980516022300663642202267693 y2[1] (numeric) = 1.5089805160223006527921641637445 absolute error = 1.08500381039485e-17 relative error = 7.1903102715662574593181353233671e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.535 y1[1] (analytic) = 1.8602686292747557014002517105828 y1[1] (numeric) = 1.8602686292747556832768738366311 absolute error = 1.81233778739517e-17 relative error = 9.7423445134465766986414583226950e-16 % h = 0.001 y2[1] (analytic) = 1.5098410394286957926053431953273 y2[1] (numeric) = 1.5098410394286957817121761821453 absolute error = 1.08931670131820e-17 relative error = 7.2147774028607890309235888865121e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.536 y1[1] (analytic) = 1.8597583581860217150775947025839 y1[1] (numeric) = 1.8597583581860216969234811804673 absolute error = 1.81541135221166e-17 relative error = 9.7615442577302512089966757602191e-16 % h = 0.001 y2[1] (analytic) = 1.5107010529940939796245610171836 y2[1] (numeric) = 1.5107010529940939686881926620727 absolute error = 1.09363683551109e-17 relative error = 7.2392670498480517433647718838842e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=759.1MB, alloc=4.6MB, time=50.44 NO POLE NO POLE x[1] = 0.537 y1[1] (analytic) = 1.8592472273390011892606832345142 y1[1] (numeric) = 1.8592472273390011710759023851637 absolute error = 1.81847808493505e-17 relative error = 9.7807223170513963620885751788444e-16 % h = 0.001 y2[1] (analytic) = 1.511560555858481730969463441633 y2[1] (numeric) = 1.5115605558584817199898214052245 absolute error = 1.09796420364085e-17 relative error = 7.2637791412681302135621373467503e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.538 y1[1] (analytic) = 1.8587352372448249283758072913827 y1[1] (numeric) = 1.8587352372448249101604275496471 absolute error = 1.82153797417356e-17 relative error = 9.7998786361504510579270100620816e-16 % h = 0.001 y2[1] (analytic) = 1.5124195471623562538775354352446 y2[1] (numeric) = 1.5124195471623562428545474716518 absolute error = 1.10229879635928e-17 relative error = 7.2883136060192011693446136078237e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=762.9MB, alloc=4.6MB, time=50.70 NO POLE NO POLE x[1] = 0.539 y1[1] (analytic) = 1.8582223884154829839333879989048 y1[1] (numeric) = 1.8582223884154829656874779134324 absolute error = 1.82459100854724e-17 relative error = 9.8190131596847207467468031820321e-16 % h = 0.001 y2[1] (analytic) = 1.5132780260467263160568603600697 y2[1] (numeric) = 1.5132780260467263049904543170435 absolute error = 1.10664060430262e-17 relative error = 7.3128703731567278488064349745933e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.54 y1[1] (analytic) = 1.8577086813638241425379687789178 y1[1] (numeric) = 1.8577086813638241242615970120373 absolute error = 1.82763717668805e-17 relative error = 9.8381258322284560099489794564791e-16 % h = 0.001 y2[1] (analytic) = 1.5141359916531131046772806829582 y2[1] (numeric) = 1.5141359916531130935673845020426 absolute error = 1.11098961809156e-17 relative error = 7.3374493718929211162979687815509e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=766.7MB, alloc=4.6MB, time=50.95 NO POLE NO POLE x[1] = 0.541 y1[1] (analytic) = 1.8571941166035554130394714822349 y1[1] (numeric) = 1.8571941166035553947327068098362 absolute error = 1.83067646723987e-17 relative error = 9.8572165982725542754250651889781e-16 % h = 0.001 y2[1] (analytic) = 1.514993443123551084849139265818 y2[1] (numeric) = 1.5149934431235510736956809825049 absolute error = 1.11534582833131e-17 relative error = 7.3620505315965982501661941860725e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.542 y1[1] (analytic) = 1.8566786946492415128262303476392 y1[1] (numeric) = 1.8566786946492414944891416590541 absolute error = 1.83370886885851e-17 relative error = 9.8762854022242609546292913584057e-16 % h = 0.001 y2[1] (analytic) = 1.5158503796005888575887427581458 y2[1] (numeric) = 1.5158503796005888463916505020303 absolute error = 1.11970922561155e-17 relative error = 7.3866737817922503761914316474171e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=770.5MB, alloc=4.6MB, time=51.21 NO POLE NO POLE x[1] = 0.543 y1[1] (analytic) = 1.8561624160163043532603174939409 y1[1] (numeric) = 1.8561624160163043348929737918241 absolute error = 1.83673437021168e-17 relative error = 9.8953321884066545006328946811699e-16 % h = 0.001 y2[1] (analytic) = 1.51670680022729001726968912644 y2[1] (numeric) = 1.5167068002272900060288911213754 absolute error = 1.12407980050646e-17 relative error = 7.4113190521596403237879986449242e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.544 y1[1] (analytic) = 1.8556452812210225242556745097304 y1[1] (numeric) = 1.8556452812210225058581449099392 absolute error = 1.83975295997912e-17 relative error = 9.9143569010589927565775297590796e-16 % h = 0.001 y2[1] (analytic) = 1.5175627041472340085592018692383 y2[1] (numeric) = 1.5175627041472339972746264334904 absolute error = 1.12845754357479e-17 relative error = 7.4359862725336652273866574480671e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=774.3MB, alloc=4.6MB, time=51.46 NO POLE NO POLE x[1] = 0.545 y1[1] (analytic) = 1.8551272907805307779995655626503 y1[1] (numeric) = 1.8551272907805307595719192941253 absolute error = 1.84276462685250e-17 relative error = 9.9333594843358199930000485465144e-16 % h = 0.001 y2[1] (analytic) = 1.5184180905045169828386139815162 y2[1] (numeric) = 1.5184180905045169715101895279184 absolute error = 1.13284244535978e-17 relative error = 7.4606753729032315275725609752131e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.546 y1[1] (analytic) = 1.8546084452128195118178683066931 y1[1] (numeric) = 1.8546084452128194933601747113377 absolute error = 1.84576935953554e-17 relative error = 9.9523398823072586002388597479776e-16 % h = 0.001 y2[1] (analytic) = 1.5192729584437526541071452480364 y2[1] (numeric) = 1.5192729584437526427348002841439 absolute error = 1.13723449638925e-17 relative error = 7.4853862834112525352531397745268e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.547 y1[1] (analytic) = 1.8540887450367342501847197221881 y1[1] (numeric) = 1.8540887450367342316970482547485 absolute error = 1.84876714674396e-17 relative error = 9.9712980389583842941511937003487e-16 % h = 0.001 y2[1] (analytic) = 1.5201273071100731543681169619403 y2[1] (numeric) = 1.5201273071100731429517800901845 absolute error = 1.14163368717558e-17 relative error = 7.5101189343539221871342533988615e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=778.2MB, alloc=4.6MB, time=51.71 NO POLE NO POLE x[1] = 0.548 y1[1] (analytic) = 1.8535681907719751258770348787904 y1[1] (numeric) = 1.853568190771975107359455106735 absolute error = 1.85175797720554e-17 relative error = 9.9902338981891936378690100372141e-16 % h = 0.001 y2[1] (analytic) = 1.5209811356491298884967486824406 y2[1] (numeric) = 1.5209811356491298770363486002832 absolute error = 1.14604000821574e-17 relative error = 7.5348732561803197929726691466288e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.549 y1[1] (analytic) = 1.8530467829390963602744174669085 y1[1] (numeric) = 1.8530467829390963417269990703074 absolute error = 1.85474183966011e-17 relative error = 1.0009147403814193668656097497792e-15 % h = 0.001 y2[1] (analytic) = 1.5218344432070943885886821638876 y2[1] (numeric) = 1.5218344432070943770841476639746 absolute error = 1.15045344999130e-17 relative error = 7.5596491794918845027272098550648e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=782.0MB, alloc=4.6MB, time=51.97 NO POLE NO POLE x[1] = 0.55 y1[1] (analytic) = 1.8525245220595057428049817976178 y1[1] (numeric) = 1.8525245220595057242277945690218 absolute error = 1.85771872285960e-17 relative error = 1.0028038499562314630567999215242e-15 % h = 0.001 y2[1] (analytic) = 1.5226872289306591677883781077573 y2[1] (numeric) = 1.5226872289306591562396380780731 absolute error = 1.15487400296842e-17 relative error = 7.5844466350417600051588998662465e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.551 y1[1] (analytic) = 1.8520014086554641095376068251937 y1[1] (numeric) = 1.8520014086554640909307206695135 absolute error = 1.86068861556802e-17 relative error = 1.0046907129076444506154972893091e-15 % h = 0.001 y2[1] (analytic) = 1.5235394919670385735965319092362 y2[1] (numeric) = 1.5235394919670385620035153332571 absolute error = 1.15930165759791e-17 relative error = 7.6092655537346006955583845866900e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=785.8MB, alloc=4.6MB, time=52.22 NO POLE NO POLE x[1] = 0.552 y1[1] (analytic) = 1.8514774432500848209211435999679 y1[1] (numeric) = 1.8514774432500848022846285343526 absolute error = 1.86365150656153e-17 relative error = 1.0065753235913448773548014247004e-15 % h = 0.001 y2[1] (analytic) = 1.5243912314639696406556550910571 y2[1] (numeric) = 1.5243912314639696290182910479048 absolute error = 1.16373640431523e-17 relative error = 7.6341058666259847071596763099272e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.553 y1[1] (analytic) = 1.8509526263673332386710984122557 y1[1] (numeric) = 1.8509526263673332200050245659714 absolute error = 1.86660738462843e-17 relative error = 1.0084576763543757903191287619939e-15 % h = 0.001 y2[1] (analytic) = 1.525242446569712943012969639076 y2[1] (numeric) = 1.5252424465697129313311873036713 absolute error = 1.16817823354047e-17 relative error = 7.6589675049216975976620300749526e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=789.6MB, alloc=4.6MB, time=52.47 NO POLE NO POLE x[1] = 0.554 y1[1] (analytic) = 1.8504269585320262018043147406284 y1[1] (numeric) = 1.8504269585320261831087523549368 absolute error = 1.86955623856916e-17 relative error = 1.0103377655351008110761116708167e-15 % h = 0.001 y2[1] (analytic) = 1.5260931364330534458597629767672 y2[1] (numeric) = 1.5260931364330534341334916199831 absolute error = 1.17262713567841e-17 relative error = 7.6838503999775424629252819212457e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.555 y1[1] (analytic) = 1.849900440269831501822177969805 y1[1] (numeric) = 1.8499004402698314830971973978413 absolute error = 1.87249805719637e-17 relative error = 1.0122155854632059811860188512433e-15 % h = 0.001 y2[1] (analytic) = 1.5269433002033013567463518393519 y2[1] (numeric) = 1.5269433002033013449755208281669 absolute error = 1.17708310111850e-17 relative error = 7.7087544832986265794681877026700e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=793.4MB, alloc=4.6MB, time=52.73 NO POLE NO POLE x[1] = 0.556 y1[1] (analytic) = 1.8493730721072673570428676949146 y1[1] (numeric) = 1.8493730721072673382885394015658 absolute error = 1.87543282933488e-17 relative error = 1.0140911304596421227847207700269e-15 % h = 0.001 y2[1] (analytic) = 1.5277929370302929762718038326678 y2[1] (numeric) = 1.5277929370302929644563426303188 absolute error = 1.18154612023490e-17 relative error = 7.7336796865390429702987568326554e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.557 y1[1] (analytic) = 1.8488448545717018860831832798337 y1[1] (numeric) = 1.8488448545717018672995778416161 absolute error = 1.87836054382176e-17 relative error = 1.0159643948366319975048255588145e-15 % h = 0.001 y2[1] (analytic) = 1.5286420460643915482475659871291 y2[1] (numeric) = 1.528642046064391536387404153264 absolute error = 1.18601618338651e-17 relative error = 7.7586259415014874341307957780984e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.558 y1[1] (analytic) = 1.8483157881913525804904691877283 y1[1] (numeric) = 1.8483157881913525616776572926653 absolute error = 1.88128118950630e-17 relative error = 1.0178353728976179555750036366406e-15 % h = 0.001 y2[1] (analytic) = 1.5294906264564881093341501432183 y2[1] (numeric) = 1.5294906264564880974292173340492 absolute error = 1.19049328091691e-17 relative error = 7.7835931801362882399080493895030e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=797.2MB, alloc=4.6MB, time=52.98 NO POLE NO POLE x[1] = 0.559 y1[1] (analytic) = 1.8477858734952857765251674518325 y1[1] (numeric) = 1.8477858734952857576832198993319 absolute error = 1.88419475525006e-17 relative error = 1.0197040589372527816394868814338e-15 % h = 0.001 y2[1] (analytic) = 1.530338677358002338150025531897 y2[1] (numeric) = 1.5303386773580023262002515003524 absolute error = 1.19497740315446e-17 relative error = 7.8085813345414843910394756767569e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.56 y1[1] (analytic) = 1.8472551110134161260945255038663 y1[1] (numeric) = 1.8472551110134161072235132045976 absolute error = 1.88710122992687e-17 relative error = 1.0215704472413634491578185999096e-15 % h = 0.001 y2[1] (analytic) = 1.531186197920883403851869441112 y2[1] (numeric) = 1.5311861979208833918571840369893 absolute error = 1.19946854041227e-17 relative error = 7.8335903369620544366213813291609e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=801.0MB, alloc=4.6MB, time=53.23 NO POLE NO POLE x[1] = 0.561 y1[1] (analytic) = 1.846723501276506066837988426341 y1[1] (numeric) = 1.8467235012765060479379824021123 absolute error = 1.89000060242287e-17 relative error = 1.0234345320869364638396206424760e-15 % h = 0.001 y2[1] (analytic) = 1.5320331872976108141853273882178 y2[1] (numeric) = 1.5320331872976108021456605583355 absolute error = 1.20396668298823e-17 relative error = 7.8586201197895393030909846455732e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.562 y1[1] (analytic) = 1.8461910448161652913648055433158 y1[1] (numeric) = 1.8461910448161652724358769269507 absolute error = 1.89289286163651e-17 relative error = 1.0252963077420815070622911749090e-15 % h = 0.001 y2[1] (analytic) = 1.5328796446411952630054347476258 y2[1] (numeric) = 1.5328796446411952509207165359756 absolute error = 1.20847182116502e-17 relative error = 7.8836706155615357275934988189466e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=804.9MB, alloc=4.6MB, time=53.49 NO POLE NO POLE x[1] = 0.563 y1[1] (analytic) = 1.8456577421648502156443821119545 y1[1] (numeric) = 1.8456577421648501966866021471689 absolute error = 1.89577799647856e-17 relative error = 1.0271557684660004260248208067763e-15 % h = 0.001 y2[1] (analytic) = 1.5337255691051794772658523133289 y2[1] (numeric) = 1.5337255691051794651360128612278 absolute error = 1.21298394521011e-17 relative error = 7.9087417569611259940938041223991e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.564 y1[1] (analytic) = 1.8451235938558634465499077244872 y1[1] (numeric) = 1.8451235938558634275633477657654 absolute error = 1.89865599587218e-17 relative error = 1.0290129085089886797513580325168e-15 % h = 0.001 y2[1] (analytic) = 1.5345709598436390634760688071373 y2[1] (numeric) = 1.5345709598436390513010383533792 absolute error = 1.21750304537581e-17 relative error = 7.9338334768166352064032061565444e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=808.7MB, alloc=4.6MB, time=53.75 NO POLE NO POLE x[1] = 0.565 y1[1] (analytic) = 1.8445886004233532485557938769029 y1[1] (numeric) = 1.844588600423353229540525389374 absolute error = 1.90152684875289e-17 relative error = 1.0308677221123825665042120782948e-15 % h = 0.001 y2[1] (analytic) = 1.5354158160111833536257238754924 y2[1] (numeric) = 1.5354158160111833414054327565 absolute error = 1.22202911189924e-17 relative error = 7.9589457081008681596506171970145e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.566 y1[1] (analytic) = 1.8440527624023130095894540068917 y1[1] (numeric) = 1.8440527624023129905455485662058 absolute error = 1.90439054406859e-17 relative error = 1.0327202035085334650867481429079e-15 % h = 0.001 y2[1] (analytic) = 1.5362601367629562505752056506075 y2[1] (numeric) = 1.5362601367629562383095843005834 absolute error = 1.22656213500241e-17 relative error = 7.9840783839310645836464038180465e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=812.5MB, alloc=4.6MB, time=54.00 NO POLE NO POLE x[1] = 0.567 y1[1] (analytic) = 1.8435160803285807060379601492125 y1[1] (numeric) = 1.8435160803285806869654894414164 absolute error = 1.90724707077961e-17 relative error = 1.0345703469207982959187569034404e-15 % h = 0.001 y2[1] (analytic) = 1.5371039212546370729116774854067 y2[1] (numeric) = 1.5371039212546370606006564364851 absolute error = 1.23110210489216e-17 relative error = 8.0092314375679435603141058370237e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.568 y1[1] (analytic) = 1.842978554738838366910111201784 y1[1] (numeric) = 1.8429785547388383478091470231969 absolute error = 1.91009641785871e-17 relative error = 1.0364181465635028269336102601183e-15 % h = 0.001 y2[1] (analytic) = 1.5379471686424413992696890063077 y2[1] (numeric) = 1.5379471686424413869131988887055 absolute error = 1.23564901176022e-17 relative error = 8.0344048024155311793110027836782e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.569 y1[1] (analytic) = 1.8424401861706115371544486403868 y1[1] (numeric) = 1.8424401861706115180250628974759 absolute error = 1.91293857429109e-17 relative error = 1.0382635966419103343447249572621e-15 % h = 0.001 y2[1] (analytic) = 1.5387898780831219121155271633056 y2[1] (numeric) = 1.5387898780831218997134987054735 absolute error = 1.24020284578321e-17 relative error = 8.0595984120205986753375183774105e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=816.3MB, alloc=4.6MB, time=54.26 NO POLE NO POLE x[1] = 0.57 y1[1] (analytic) = 1.841900975162268740133756363916 y1[1] (numeric) = 1.8419009751622687209760210731715 absolute error = 1.91577352907445e-17 relative error = 1.0401066913522173457721232304443e-15 % h = 0.001 y2[1] (analytic) = 1.5396320487339692409944634930788 y2[1] (numeric) = 1.5396320487339692285468275218521 absolute error = 1.24476359712267e-17 relative error = 8.0848122000722970959683203308119e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.571 y1[1] (analytic) = 1.841360922253020939256582195639 y1[1] (numeric) = 1.8413609222530209200705694834495 absolute error = 1.91860127121895e-17 relative error = 1.0419474248814950597178509028062e-15 % h = 0.001 y2[1] (analytic) = 1.540473679752812805240054347939 y2[1] (numeric) = 1.5404736797528127927467417886883 absolute error = 1.24933125592507e-17 relative error = 8.1100461004016631721563225049538e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=820.1MB, alloc=4.6MB, time=54.51 NO POLE NO POLE x[1] = 0.572 y1[1] (analytic) = 1.8408200279829209987663194088936 y1[1] (numeric) = 1.8408200279829209795521015114208 absolute error = 1.92142178974728e-17 relative error = 1.0437857914076904093848495528397e-15 % h = 0.001 y2[1] (analytic) = 1.5413147702980216561446513813949 y2[1] (numeric) = 1.541314770298021643605593258177 absolute error = 1.25390581232179e-17 relative error = 8.1353000469809320044114561062463e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.573 y1[1] (analytic) = 1.8402782928928631436883874880982 y1[1] (numeric) = 1.8402782928928631244460367511518 absolute error = 1.92423507369464e-17 relative error = 1.0456217850995782141448675381097e-15 % h = 0.001 y2[1] (analytic) = 1.5421553195285053185902801198912 y2[1] (numeric) = 1.5421553195285053060054075555992 absolute error = 1.25848725642920e-17 relative error = 8.1605739739235002774918368611239e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=823.9MB, alloc=4.6MB, time=54.77 NO POLE NO POLE x[1] = 0.574 y1[1] (analytic) = 1.8397357175245824189360521778498 y1[1] (numeric) = 1.8397357175245823996656410567619 absolute error = 1.92704111210879e-17 relative error = 1.0474554001167512868801493291571e-15 % h = 0.001 y2[1] (analytic) = 1.5429953266037146321390449899122 y2[1] (numeric) = 1.5429953266037146195082892064259 absolute error = 1.26307557834863e-17 relative error = 8.1858678154831765336382660364436e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.575 y1[1] (analytic) = 1.8391923024206541475754257142438 y1[1] (numeric) = 1.8391923024206541282770267737432 absolute error = 1.92983989405006e-17 relative error = 1.0492866306095887665577195518938e-15 % h = 0.001 y2[1] (analytic) = 1.5438347906836425915822197101162 y2[1] (numeric) = 1.5438347906836425789055120284522 absolute error = 1.26767076816640e-17 relative error = 8.2111815060538223751580121923713e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=827.8MB, alloc=4.6MB, time=55.02 NO POLE NO POLE x[1] = 0.576 y1[1] (analytic) = 1.8386480481244933882501889733704 y1[1] (numeric) = 1.8386480481244933689238748874568 absolute error = 1.93263140859136e-17 relative error = 1.0511154707192243861169734094358e-15 % h = 0.001 y2[1] (analytic) = 1.5446737109288251869471824994803 y2[1] (numeric) = 1.5446737109288251742244543399423 absolute error = 1.27227281595380e-17 relative error = 8.2365149801686709834347896142515e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.577 y1[1] (analytic) = 1.8381029551803543917665781122205 y1[1] (numeric) = 1.8381029551803543724124216640385 absolute error = 1.93541564481820e-17 relative error = 1.0529419145775201158037609009063e-15 % h = 0.001 y2[1] (analytic) = 1.5455120865003422429613560945909 y2[1] (numeric) = 1.5455120865003422301925389769191 absolute error = 1.27688171176718e-17 relative error = 8.2618681725003594358951717014904e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=831.6MB, alloc=4.6MB, time=55.27 NO POLE NO POLE x[1] = 0.578 y1[1] (analytic) = 1.837557024133330056839179116969 y1[1] (numeric) = 1.8375570241333300374572531986818 absolute error = 1.93819259182872e-17 relative error = 1.0547659563070451930059671157173e-15 % h = 0.001 y2[1] (analytic) = 1.546349916559818257972313112208 y2[1] (numeric) = 1.5463499165598182451573386557291 absolute error = 1.28149744564789e-17 relative error = 8.2872410178599907331614075711129e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.579 y1[1] (analytic) = 1.8370102555293513849980745127954 y1[1] (numeric) = 1.8370102555293513655884521254584 absolute error = 1.94096223873370e-17 relative error = 1.0565875900210442188579848235449e-15 % h = 0.001 y2[1] (analytic) = 1.5471872002694232423232078370701 y2[1] (numeric) = 1.5471872002694232294620077608467 absolute error = 1.28612000762234e-17 relative error = 8.3126334511969743178680344049972e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.58 y1[1] (analytic) = 1.83646264991518693465788732805 y1[1] (numeric) = 1.836462649915186915220641581484 absolute error = 1.94372457465660e-17 relative error = 1.0584068098234215250280700617807e-15 % h = 0.001 y2[1] (analytic) = 1.5480239367918735561826960595765 y2[1] (numeric) = 1.5480239367918735432752021825564 absolute error = 1.29074938770201e-17 relative error = 8.3380454075985439617079302913840e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=835.4MB, alloc=4.6MB, time=55.53 NO POLE NO POLE x[1] = 0.581 y1[1] (analytic) = 1.8359142078384422743492682436758 y1[1] (numeric) = 1.8359142078384422548844723563405 absolute error = 1.94647958873353e-17 relative error = 1.0602236098086873758111361537976e-15 % h = 0.001 y2[1] (analytic) = 1.548860125290432746828505133497 y2[1] (numeric) = 1.5488601252904327338746493746626 absolute error = 1.29538557588344e-17 relative error = 8.3634768222891479328813021632301e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.582 y1[1] (analytic) = 1.8353649298475594351133726963536 y1[1] (numeric) = 1.8353649298475594156210999952204 absolute error = 1.94922727011332e-17 relative error = 1.0620379840619585502385402158261e-15 % h = 0.001 y2[1] (analytic) = 1.5496957649289123853838169702094 y2[1] (numeric) = 1.5496957649289123723835313487266 absolute error = 1.30002856214828e-17 relative error = 8.3889276306302281560724863180010e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=839.2MB, alloc=4.6MB, time=55.78 NO POLE NO POLE x[1] = 0.583 y1[1] (analytic) = 1.834814816491816362059875540848 y1[1] (numeric) = 1.8348148164918163425401994612728 absolute error = 1.95196760795752e-17 relative error = 1.0638499266589207656000005749226e-15 % h = 0.001 y2[1] (analytic) = 1.5505308548716729030056272331506 y2[1] (numeric) = 1.5505308548716728899588438685178 absolute error = 1.30467833646328e-17 relative error = 8.4143977681196129686427422322830e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.584 y1[1] (analytic) = 1.8342638683213263650890717134926 y1[1] (numeric) = 1.8342638683213263455420657990886 absolute error = 1.95470059144040e-17 relative error = 1.0656594316657910247839790973730e-15 % h = 0.001 y2[1] (analytic) = 1.5513653942836244265242445441924 y2[1] (numeric) = 1.5513653942836244134308956563893 absolute error = 1.30933488878031e-17 relative error = 8.4398871703911050637813143252971e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=843.0MB, alloc=4.6MB, time=56.03 NO POLE NO POLE x[1] = 0.585 y1[1] (analytic) = 1.8337120858870375687786121746697 y1[1] (numeric) = 1.8337120858870375492043500771797 absolute error = 1.95742620974900e-17 relative error = 1.0674664931393071541943172006353e-15 % h = 0.001 y2[1] (analytic) = 1.5521993823302276135330940625129 y2[1] (numeric) = 1.5521993823302276003931119721491 absolute error = 1.31399820903638e-17 relative error = 8.4653957732140706110643045601809e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.586 y1[1] (analytic) = 1.8331594697407323614354252435016 y1[1] (numeric) = 1.83315946974073234183398072267 absolute error = 1.96014445208316e-17 relative error = 1.0692711051267064040050669099146e-15 % h = 0.001 y2[1] (analytic) = 1.553032818177494486927990346228 y2[1] (numeric) = 1.5530328181774944737413074746914 absolute error = 1.31866828715366e-17 relative error = 8.4909235124930295501361646636252e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=846.8MB, alloc=4.6MB, time=56.29 NO POLE NO POLE x[1] = 0.587 y1[1] (analytic) = 1.8326060204350268433133742727858 y1[1] (numeric) = 1.8326060204350268236848211962313 absolute error = 1.96285530765545e-17 relative error = 1.0710732616656494340339626302726e-15 % h = 0.001 y2[1] (analytic) = 1.5538657009919892688950449575815 y2[1] (numeric) = 1.5538657009919892556615938271864 absolute error = 1.32334511303951e-17 relative error = 8.5164703242673114088712578564916e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.588 y1[1] (analytic) = 1.8320517385233702739972034464729 y1[1] (numeric) = 1.8320517385233702543416157895596 absolute error = 1.96555876569133e-17 relative error = 1.0728729567842696954684076488915e-15 % h = 0.001 y2[1] (analytic) = 1.5546980299408292143463748238537 y2[1] (numeric) = 1.5546980299408292010660880579895 absolute error = 1.32802867658642e-17 relative error = 8.5420361447101331888637963077459e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=850.6MB, alloc=4.6MB, time=56.55 NO POLE NO POLE x[1] = 0.589 y1[1] (analytic) = 1.8314966245600445189533243156914 y1[1] (numeric) = 1.8314966245600444992707761614011 absolute error = 1.96825481542903e-17 relative error = 1.0746701845010700131586035376513e-15 % h = 0.001 y2[1] (analytic) = 1.5555298041916854438027779183523 y2[1] (numeric) = 1.5555298041916854304755882416308 absolute error = 1.33271896767215e-17 relative error = 8.5676209101289657986572201507542e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.59 y1[1] (analytic) = 1.8309406791001634952479965224907 y1[1] (numeric) = 1.8309406791001634755385620612941 absolute error = 1.97094344611966e-17 relative error = 1.0764649388249445897069245219942e-15 % h = 0.001 y2[1] (analytic) = 1.5563610229127837757225433788758 y2[1] (numeric) = 1.5563610229127837623483836172796 absolute error = 1.33741597615962e-17 relative error = 8.5932245569642928536811253565202e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.591 y1[1] (analytic) = 1.8303839026996726164334569930729 y1[1] (numeric) = 1.8303839026996725966972105228009 absolute error = 1.97362464702720e-17 relative error = 1.0782572137551354808974358238279e-15 % h = 0.001 y2[1] (analytic) = 1.5571916852729055582755637349123 y2[1] (numeric) = 1.5571916852729055448543668159422 absolute error = 1.34211969189701e-17 relative error = 8.6188470217897218875958717398614e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=854.5MB, alloc=4.6MB, time=56.81 NO POLE NO POLE x[1] = 0.592 y1[1] (analytic) = 1.8298262959153482366025527143388 y1[1] (numeric) = 1.8298262959153482168395686400536 absolute error = 1.97629840742852e-17 relative error = 1.0800470032812053780758884502662e-15 % h = 0.001 y2[1] (analytic) = 1.5580217904413885005619174695279 y2[1] (numeric) = 1.5580217904413884870936164223505 absolute error = 1.34683010471774e-17 relative error = 8.6444882413113248544761799073097e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.593 y1[1] (analytic) = 1.8292678593047970936124330390686 y1[1] (numeric) = 1.8292678593047970738227858729348 absolute error = 1.97896471661338e-17 relative error = 1.0818343013829993987601270343386e-15 % h = 0.001 y2[1] (analytic) = 1.5588513375881275032740906974331 y2[1] (numeric) = 1.558851337588127489758618653028 absolute error = 1.35154720444051e-17 relative error = 8.6701481523673654931289389784236e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=858.3MB, alloc=4.6MB, time=57.06 NO POLE NO POLE x[1] = 0.594 y1[1] (analytic) = 1.8287085934264557514778582959995 y1[1] (numeric) = 1.8287085934264557316616226571548 absolute error = 1.98162356388447e-17 relative error = 1.0836191020306286719175307375539e-15 % h = 0.001 y2[1] (analytic) = 1.559680325883575488802007297074 y2[1] (numeric) = 1.5596803258835754752392974883812 absolute error = 1.35627098086928e-17 relative error = 8.6958266919276427239296558790003e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.595 y1[1] (analytic) = 1.8281484988395900419346823114442 y1[1] (numeric) = 1.8281484988395900220919329258696 absolute error = 1.98427493855746e-17 relative error = 1.0854013991844593544297280140407e-15 % h = 0.001 y2[1] (analytic) = 1.5605087544987442307800373917875 y2[1] (numeric) = 1.5605087544987442171700231538544 absolute error = 1.36100142379331e-17 relative error = 8.7215237970932204860857517723029e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=862.1MB, alloc=4.6MB, time=57.31 NO POLE NO POLE x[1] = 0.596 y1[1] (analytic) = 1.827587576104294505174067278921 y1[1] (numeric) = 1.8275875761042944853048789793116 absolute error = 1.98691882996094e-17 relative error = 1.0871811867950414301178505859529e-15 % h = 0.001 y2[1] (analytic) = 1.5613366226052051830751546330814 y2[1] (numeric) = 1.5613366226052051694177694032098 absolute error = 1.36573852298716e-17 relative error = 8.7472394050959021022929210890351e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.597 y1[1] (analytic) = 1.8270258257814918297479902425356 y1[1] (numeric) = 1.8270258257814918098524379681706 absolute error = 1.98955522743650e-17 relative error = 1.0889584588031139962186374626031e-15 % h = 0.001 y2[1] (analytic) = 1.5621639293750903082154132979511 y2[1] (numeric) = 1.5621639293750902945105906158436 absolute error = 1.37048226821075e-17 relative error = 8.7729734532980902565935386960469e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=865.9MB, alloc=4.6MB, time=57.57 NO POLE NO POLE x[1] = 0.598 y1[1] (analytic) = 1.8264632484329322916466012885597 y1[1] (numeric) = 1.8264632484329322717247600851724 absolute error = 1.99218412033873e-17 relative error = 1.0907332091395667503692117704800e-15 % h = 0.001 y2[1] (analytic) = 1.5629906739810929052579167718239 y2[1] (numeric) = 1.5629906739810928915055902797308 absolute error = 1.37523264920931e-17 relative error = 8.7987258791919434983189807721353e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.599 y1[1] (analytic) = 1.8258998446211931925479943678021 y1[1] (numeric) = 1.8258998446211931725999393874497 absolute error = 1.99480549803524e-17 relative error = 1.0925054317254123512540626574639e-15 % h = 0.001 y2[1] (analytic) = 1.5638168555964684370954495492333 y2[1] (numeric) = 1.5638168555964684232955529920989 absolute error = 1.37998965571344e-17 relative error = 8.8244966203992386900551660558263e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=869.7MB, alloc=4.6MB, time=57.82 NO POLE NO POLE x[1] = 0.6 y1[1] (analytic) = 1.8253356149096782972409524989554 y1[1] (numeric) = 1.8253356149096782772667589998887 absolute error = 1.99741934990667e-17 relative error = 1.0942751204717532409336518595757e-15 % h = 0.001 y2[1] (analytic) = 1.5646424733950353572009454456587 y2[1] (numeric) = 1.5646424733950353433534126712675 absolute error = 1.38475327743912e-17 relative error = 8.8502856146709141909367600223774e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.601 y1[1] (analytic) = 1.8247705598626172702212299301249 y1[1] (numeric) = 1.8247705598626172502209732766576 absolute error = 2.00002566534673e-17 relative error = 1.0960422692797648373429325122746e-15 % h = 0.001 y2[1] (analytic) = 1.5654675265511759358089652761314 y2[1] (numeric) = 1.5654675265511759219137302352544 absolute error = 1.38952350408770e-17 relative error = 8.8760927998864865911599542157634e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.602 y1[1] (analytic) = 1.8242046800450651114619346622117 y1[1] (numeric) = 1.8242046800450650914356903245897 absolute error = 2.00262443376220e-17 relative error = 1.0978068720406567594968619201276e-15 % h = 0.001 y2[1] (analytic) = 1.5662920142398370855333578191989 y2[1] (numeric) = 1.5662920142398370715903545657394 absolute error = 1.39430032534595e-17 relative error = 8.9019181140538522236688866356280e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=873.5MB, alloc=4.6MB, time=58.08 NO POLE NO POLE x[1] = 0.603 y1[1] (analytic) = 1.8236379760229015913585755637194 y1[1] (numeric) = 1.8236379760229015713064191179899 absolute error = 2.00521564457295e-17 relative error = 1.0995689226356449389180790295767e-15 % h = 0.001 y2[1] (analytic) = 1.5671159356365311864202784486542 y2[1] (numeric) = 1.5671159356365311724294411397936 absolute error = 1.39908373088606e-17 relative error = 8.9277614953087701091584072080876e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.604 y1[1] (analytic) = 1.8230704483628306848493391318916 y1[1] (numeric) = 1.8230704483628306647713462597719 absolute error = 2.00779928721197e-17 relative error = 1.1013284149359291555828892951454e-15 % h = 0.001 y2[1] (analytic) = 1.5679392899173369104357403800814 y2[1] (numeric) = 1.5679392899173368963970032764247 absolute error = 1.40387371036567e-17 relative error = 8.9536228819145377307384814415062e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=877.3MB, alloc=4.6MB, time=58.33 NO POLE NO POLE x[1] = 0.605 y1[1] (analytic) = 1.822502097632380004711161779855 y1[1] (numeric) = 1.8225020976323799846074082686011 absolute error = 2.01037535112539e-17 relative error = 1.1030853428026650362321296014714e-15 % h = 0.001 y2[1] (analytic) = 1.5687620762589000453868740447335 y2[1] (numeric) = 1.5687620762589000313001715104551 absolute error = 1.40867025342784e-17 relative error = 8.9795022122612852286301809873678e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.606 y1[1] (analytic) = 1.8219329243999002340321643536487 y1[1] (numeric) = 1.8219329243999002139027260959242 absolute error = 2.01294382577245e-17 relative error = 1.1048397000869085482135010785908e-15 % h = 0.001 y2[1] (analytic) = 1.569584293838434318276070669554 y2[1] (numeric) = 1.5695842938384343041413371725427 absolute error = 1.41347334970113e-17 relative error = 9.0053994248659725039748339615929e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=881.2MB, alloc=4.6MB, time=58.58 NO POLE NO POLE x[1] = 0.607 y1[1] (analytic) = 1.8213629292345645578610164066595 y1[1] (numeric) = 1.8213629292345645377059694004035 absolute error = 2.01550470062560e-17 relative error = 1.1065914806296317556232324776153e-15 % h = 0.001 y2[1] (analytic) = 1.5704059418337222180871867092646 y2[1] (numeric) = 1.5704059418337222039043568212689 absolute error = 1.41828298879957e-17 relative error = 9.0313144583716857433383072674620e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.608 y1[1] (analytic) = 1.8207921127063680940337985820488 y1[1] (numeric) = 1.8207921127063680738532189303442 absolute error = 2.01805796517046e-17 relative error = 1.1083406782616617066914130192691e-15 % h = 0.001 y2[1] (analytic) = 1.5712270194231158180029863443854 y2[1] (numeric) = 1.5712270194231158037719947411585 absolute error = 1.42309916032269e-17 relative error = 9.0572472515473178865353108895690e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=885.0MB, alloc=4.6MB, time=58.84 NO POLE NO POLE x[1] = 0.609 y1[1] (analytic) = 1.8202204753861273231789322762638 y1[1] (numeric) = 1.8202204753861273029728961872053 absolute error = 2.02060360890585e-17 relative error = 1.1100872868036576544121887202780e-15 % h = 0.001 y2[1] (analytic) = 1.5720475257855375970529998278124 y2[1] (numeric) = 1.572047525785537582773781289257 absolute error = 1.42792185385554e-17 relative error = 9.0831977432871863534666058105504e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.61 y1[1] (analytic) = 1.8196480178454795179007465786548 y1[1] (numeric) = 1.8196480178454794976693303652164 absolute error = 2.02314162134384e-17 relative error = 1.1118313000660992166119312330111e-15 % h = 0.001 y2[1] (analytic) = 1.5728674601004812611909760321627 y2[1] (numeric) = 1.5728674601004812468634654424756 absolute error = 1.43275105896871e-17 relative error = 9.1091658726106518375822232260210e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=888.8MB, alloc=4.6MB, time=59.10 NO POLE NO POLE x[1] = 0.611 y1[1] (analytic) = 1.8190747406568821711422533035835 y1[1] (numeric) = 1.8190747406568821508855333834864 absolute error = 2.02567199200971e-17 relative error = 1.1135727118492250292671945084931e-15 % h = 0.001 y2[1] (analytic) = 1.5736868215480125638011081205036 y2[1] (numeric) = 1.5736868215480125494252404683203 absolute error = 1.43758676521833e-17 relative error = 9.1351515786616110720202252332492e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.612 y1[1] (analytic) = 1.8185006443936124237277017522008 y1[1] (numeric) = 1.8185006443936124034457546477807 absolute error = 2.02819471044201e-17 relative error = 1.1153115159430262654326825508174e-15 % h = 0.001 y2[1] (analytic) = 1.5745056093087701256322118343075 y2[1] (numeric) = 1.5745056093087701112079222128465 absolute error = 1.44242896214610e-17 relative error = 9.1611548007081815872077939367090e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.613 y1[1] (analytic) = 1.8179257296297664910854856612912 y1[1] (numeric) = 1.8179257296297664707783879993654 absolute error = 2.03070976619258e-17 relative error = 1.1170477061272181300081985235058e-15 % h = 0.001 y2[1] (analytic) = 1.5753238225639662541590364645238 y2[1] (numeric) = 1.5753238225639662396862600717309 absolute error = 1.44727763927929e-17 relative error = 9.1871754781421968868635507978636e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=892.6MB, alloc=4.6MB, time=59.35 NO POLE NO POLE x[1] = 0.614 y1[1] (analytic) = 1.8173499969402590891519756162284 y1[1] (numeric) = 1.8173499969402590688198041279631 absolute error = 2.03321714882653e-17 relative error = 1.1187812761711892816418135255692e-15 % h = 0.001 y2[1] (analytic) = 1.576141460495387762369889144524 y2[1] (numeric) = 1.5761414604953877478485612832162 absolute error = 1.45213278613078e-17 relative error = 9.2132135504789568539059227954992e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.615 y1[1] (analytic) = 1.8167734469008228594568510241632 y1[1] (numeric) = 1.8167734469008228390996825449399 absolute error = 2.03571684792233e-17 relative error = 1.1205122198340116966200869510026e-15 % h = 0.001 y2[1] (analytic) = 1.5769585222853967869797536773647 y2[1] (numeric) = 1.5769585222853967724098097553741 absolute error = 1.45699439219906e-17 relative error = 9.2392689573567251539470813351211e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=896.4MB, alloc=4.6MB, time=59.61 NO POLE NO POLE x[1] = 0.616 y1[1] (analytic) = 1.8161960800880077933905065620621 y1[1] (numeric) = 1.8161960800880077730084180313447 absolute error = 2.03820885307174e-17 relative error = 1.1222405308643624466061157819521e-15 % h = 0.001 y2[1] (analytic) = 1.5777750071169316060680856843173 y2[1] (numeric) = 1.5777750071169315914494612146348 absolute error = 1.46186244696825e-17 relative error = 9.2653416385363548361977795061652e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.617 y1[1] (analytic) = 1.8156178970791806556541088321442 y1[1] (numeric) = 1.8156178970791806352471772933452 absolute error = 2.04069315387990e-17 relative error = 1.1239662030005334427001181825448e-15 % h = 0.001 y2[1] (analytic) = 1.5785909141735074561404664369381 y2[1] (numeric) = 1.578590914173507441473097037857 absolute error = 1.46673693990811e-17 relative error = 9.2914315339008516240893245106119e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=900.2MB, alloc=4.6MB, time=59.87 NO POLE NO POLE x[1] = 0.618 y1[1] (analytic) = 1.8150388984525244068928797746095 y1[1] (numeric) = 1.8150388984525243864611823749565 absolute error = 2.04316973996530e-17 relative error = 1.1256892299703750750480904986260e-15 % h = 0.001 y2[1] (analytic) = 1.579406242639217348613298311092 y2[1] (numeric) = 1.5794062426392173338971197063513 absolute error = 1.47161786047407e-17 relative error = 9.3175385834550650655727533555294e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.619 y1[1] (analytic) = 1.8144590847870376255131842043293 y1[1] (numeric) = 1.8144590847870376050567981947309 absolute error = 2.04563860095984e-17 relative error = 1.1274096054912893373975799612793e-15 % h = 0.001 y2[1] (analytic) = 1.5802209916987328857207253783037 y2[1] (numeric) = 1.5802209916987328709556733972313 absolute error = 1.47650519810724e-17 relative error = 9.3436627273252539519865434561090e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=904.0MB, alloc=4.6MB, time=60.12 NO POLE NO POLE x[1] = 0.62 y1[1] (analytic) = 1.8138784566625339286839996543607 y1[1] (numeric) = 1.8138784566625339082030023892726 absolute error = 2.04809972650881e-17 relative error = 1.1291273232701788253277318371475e-15 % h = 0.001 y2[1] (analytic) = 1.5810351605373050758429632275822 y2[1] (numeric) = 1.5810351605373050610289738052382 absolute error = 1.48139894223440e-17 relative error = 9.3698039057585264591982393780164e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.621 y1[1] (analytic) = 1.8132970146596413925233475247695 y1[1] (numeric) = 1.8132970146596413720178164620602 absolute error = 2.05055310627093e-17 relative error = 1.1308423770034287166752296508499e-15 % h = 0.001 y2[1] (analytic) = 1.581848748340765148255222689459 y2[1] (numeric) = 1.5818487483407651333922318667782 absolute error = 1.48629908226808e-17 relative error = 9.3959620591228508504168024748418e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=907.9MB, alloc=4.6MB, time=60.37 NO POLE NO POLE x[1] = 0.622 y1[1] (analytic) = 1.8127147593598019714702653502798 y1[1] (numeric) = 1.812714759359801950940278051096 absolute error = 2.05299872991838e-17 relative error = 1.1325547603768831919232823235426e-15 % h = 0.001 y2[1] (analytic) = 1.5826617542955253672964127133811 y2[1] (numeric) = 1.5826617542955253523843566373161 absolute error = 1.49120560760650e-17 relative error = 9.4221371279061814395486798100621e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.623 y1[1] (analytic) = 1.8121316913452709168429008147311 y1[1] (numeric) = 1.8121316913452708962885349433634 absolute error = 2.05543658713677e-17 relative error = 1.1342644670657886902513592557905e-15 % h = 0.001 y2[1] (analytic) = 1.583474177588579845956808229827 y2[1] (numeric) = 1.5834741775885798309956231534906 absolute error = 1.49611850763364e-17 relative error = 9.4483290527164081069842041962658e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.624 y1[1] (analytic) = 1.8115478111991161945833089542001 y1[1] (numeric) = 1.811547811199116174004642277948 absolute error = 2.05786666762521e-17 relative error = 1.1359714907347922486655029618776e-15 % h = 0.001 y2[1] (analytic) = 1.584286017407505358883869409543 y2[1] (numeric) = 1.5842860174075053438734916923506 absolute error = 1.50103777171924e-17 relative error = 9.4745377742808640114589228304820e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=911.7MB, alloc=4.6MB, time=60.63 NO POLE NO POLE x[1] = 0.625 y1[1] (analytic) = 1.8109631195052179021895348039411 y1[1] (numeric) = 1.8109631195052178815866451929779 absolute error = 2.06028896109632e-17 relative error = 1.1376758250379066975922222209118e-15 % h = 0.001 y2[1] (analytic) = 1.5850972729404621548053993141501 y2[1] (numeric) = 1.585097272940462139745765421962 absolute error = 1.50596338921881e-17 relative error = 9.5007632334458977841061844533765e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.626 y1[1] (analytic) = 1.810377616848267684835564557014 y1[1] (numeric) = 1.810377616848267664208529984252 absolute error = 2.06270345727620e-17 relative error = 1.1393774636184536855114080281856e-15 % h = 0.001 y2[1] (analytic) = 1.5859079433761947683692275150305 y2[1] (numeric) = 1.5859079433761947532602740202939 absolute error = 1.51089534947366e-17 relative error = 9.5270053711765730283235252726728e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=915.5MB, alloc=4.6MB, time=60.88 NO POLE NO POLE x[1] = 0.627 y1[1] (analytic) = 1.8097913038137681506797291146007 y1[1] (numeric) = 1.8097913038137681300286276555555 absolute error = 2.06511014590452e-17 relative error = 1.1410764001090728902121136476580e-15 % h = 0.001 y2[1] (analytic) = 1.5867180279040328313986078408783 y2[1] (numeric) = 1.5867180279040328162402714227692 absolute error = 1.51583364181091e-17 relative error = 9.5532641285562425772846822849582e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.628 y1[1] (analytic) = 1.8092041809880322853621447195559 y1[1] (numeric) = 1.8092041809880322646870545522111 absolute error = 2.06750901673448e-17 relative error = 1.1427726281316593843917452283726e-15 % h = 0.001 y2[1] (analytic) = 1.5875275257138918835625189985835 y2[1] (numeric) = 1.5875275257138918683547364431486 absolute error = 1.52077825554349e-17 relative error = 9.5795394467860609476188122882811e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=919.3MB, alloc=4.6MB, time=61.14 NO POLE NO POLE x[1] = 0.629 y1[1] (analytic) = 1.8086162489581828656917761757053 y1[1] (numeric) = 1.8086162489581828449927755803767 absolute error = 2.06990005953286e-17 relative error = 1.1444661412973506323628335244958e-15 % h = 0.001 y2[1] (analytic) = 1.5883364359962741824600573972178 y2[1] (numeric) = 1.5883364359962741672027655975159 absolute error = 1.52572917997019e-17 relative error = 9.6058312671848129627752279647188e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.63 y1[1] (analytic) = 1.8080275083121518725237089657771 y1[1] (numeric) = 1.8080275083121518518008763249768 absolute error = 2.07228326408003e-17 relative error = 1.1461569332064913290542491607800e-15 % h = 0.001 y2[1] (analytic) = 1.5891447579422695131181120907946 y2[1] (numeric) = 1.5891447579422694978112480470382 absolute error = 1.53068640437564e-17 relative error = 9.6321395311883022961522931578057e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=923.1MB, alloc=4.6MB, time=61.39 NO POLE NO POLE x[1] = 0.631 y1[1] (analytic) = 1.8074379596386799028272173906462 y1[1] (numeric) = 1.8074379596386798820806311889467 absolute error = 2.07465862016995e-17 relative error = 1.1478449974485926288819439727679e-15 % h = 0.001 y2[1] (analytic) = 1.5899524907435559969015123421982 y2[1] (numeric) = 1.5899524907435559815450131618946 absolute error = 1.53564991803036e-17 relative error = 9.6584641803491820298623612726544e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.632 y1[1] (analytic) = 1.8068476035273155809452166617754 y1[1] (numeric) = 1.806847603527315560174955485673 absolute error = 2.07702611761024e-17 relative error = 1.1495303276023300275458992948103e-15 % h = 0.001 y2[1] (analytic) = 1.5907596335924008998348388981996 y2[1] (numeric) = 1.5907596335924008844286417962922 absolute error = 1.54061971019074e-17 relative error = 9.6848051563363455745053226839675e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=926.9MB, alloc=4.6MB, time=61.64 x[1] = 0.633 y1[1] (analytic) = 1.8062564405684149690456876873498 y1[1] (numeric) = 1.8062564405684149482518302251286 absolute error = 2.07938574622212e-17 relative error = 1.1512129172354692588858561631892e-15 % h = 0.001 y2[1] (analytic) = 1.5915661856816614403350906538176 y2[1] (numeric) = 1.5915661856816614248791329528266 absolute error = 1.54559577009910e-17 relative error = 9.7111624009348219787986964208656e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.634 y1[1] (analytic) = 1.8056644713531409767656641006336 y1[1] (numeric) = 1.8056644713531409559482891422285 absolute error = 2.08173749584051e-17 relative error = 1.1528927599048806474861010779913e-15 % h = 0.001 y2[1] (analytic) = 1.592372146204785596354398973423 y2[1] (numeric) = 1.5923721462047855808486181035862 absolute error = 1.55057808698368e-17 relative error = 9.7375358560452318491493095243841e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.635 y1[1] (analytic) = 1.8050716964734627700483718865097 y1[1] (numeric) = 1.80507169647346274920755832337 absolute error = 2.08408135631397e-17 relative error = 1.1545698491564648416070722494860e-15 % h = 0.001 y2[1] (analytic) = 1.5931775143558129119319825259412 y2[1] (numeric) = 1.5931775143558128963763160253548 absolute error = 1.55556665005864e-17 relative error = 9.7639254636833075770362709451103e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=930.8MB, alloc=4.6MB, time=61.89 NO POLE NO POLE x[1] = 0.636 y1[1] (analytic) = 1.8044781165221551791741127690167 y1[1] (numeric) = 1.8044781165221551583099395939688 absolute error = 2.08641731750479e-17 relative error = 1.1562441785251615175549014284719e-15 % h = 0.001 y2[1] (analytic) = 1.5939822893293753031545360822647 y2[1] (numeric) = 1.5939822893293752875489215970234 absolute error = 1.56056144852413e-17 relative error = 9.7903311659798540611150309050014e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.637 y1[1] (analytic) = 1.8038837320927981059854833289476 y1[1] (numeric) = 1.8038837320927980850980296360581 absolute error = 2.08874536928895e-17 relative error = 1.1579157415348860257334956252116e-15 % h = 0.001 y2[1] (analytic) = 1.5947864703206978635242473145531 y2[1] (numeric) = 1.5947864703206978478686225988906 absolute error = 1.56556247156625e-17 relative error = 9.8167529051800196903873405113745e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=934.6MB, alloc=4.6MB, time=62.15 NO POLE NO POLE x[1] = 0.638 y1[1] (analytic) = 1.8032885437797759303075226262437 y1[1] (numeric) = 1.8032885437797759093968676106818 absolute error = 2.09106550155619e-17 relative error = 1.1595845316985269023719229743553e-15 % h = 0.001 y2[1] (analytic) = 1.5955900565255996687336362294726 y2[1] (numeric) = 1.5955900565255996530279391459016 absolute error = 1.57056970835710e-17 relative error = 9.8431906236431334772188720877717e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.639 y1[1] (analytic) = 1.8026925521782769155633819069852 y1[1] (numeric) = 1.8026925521782768946296048648854 absolute error = 2.09337770420998e-17 relative error = 1.1612505425178878949978637669728e-15 % h = 0.001 y2[1] (analytic) = 1.5963930471404945808464124606007 y2[1] (numeric) = 1.596393047140494565090580980053 absolute error = 1.57558314805477e-17 relative error = 9.8696442638421667255284003457544e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=938.4MB, alloc=4.6MB, time=62.40 NO POLE NO POLE x[1] = 0.64 y1[1] (analytic) = 1.8020957578842926135861107792603 y1[1] (numeric) = 1.8020957578842925926292911075849 absolute error = 2.09568196716754e-17 relative error = 1.1629137674836576096419973331639e-15 % h = 0.001 y2[1] (analytic) = 1.5971954413623920518835462392079 y2[1] (numeric) = 1.5971954413623920360775184411739 absolute error = 1.58060277980340e-17 relative error = 9.8961137683636344826066213916914e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.641 y1[1] (analytic) = 1.801498161494617268627155046077 y1[1] (numeric) = 1.8014981614946172476473722424778 absolute error = 2.09797828035992e-17 relative error = 1.1645742000754123945203658419614e-15 % h = 0.001 y2[1] (analytic) = 1.5979972383888979268137494574101 y2[1] (numeric) = 1.5979972383888979109574635300786 absolute error = 1.58562859273315e-17 relative error = 9.9225990799069339750762294413313e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=942.2MB, alloc=4.6MB, time=62.66 NO POLE NO POLE x[1] = 0.642 y1[1] (analytic) = 1.8008997636068472205621621867689 y1[1] (numeric) = 1.8008997636068471995594958494494 absolute error = 2.10026663373195e-17 relative error = 1.1662318337615470346145476177721e-15 % h = 0.001 y2[1] (analytic) = 1.5987984374182152459475638332798 y2[1] (numeric) = 1.5987984374182152300409580736773 absolute error = 1.59066057596025e-17 relative error = 9.9491001412841853043767344893550e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.643 y1[1] (analytic) = 1.8003005648193803072946912810412 y1[1] (numeric) = 1.8003005648193802862692211086184 absolute error = 2.10254701724228e-17 relative error = 1.1678866619992552910213268973547e-15 % h = 0.001 y2[1] (analytic) = 1.599599037649145046734253783893 y2[1] (numeric) = 1.5995990376491450307772665980231 absolute error = 1.59569871858699e-17 relative error = 9.9756168954196974202227960435528e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=946.0MB, alloc=4.6MB, time=63.08 x[1] = 0.644 y1[1] (analytic) = 1.7997005657314152663584249718963 y1[1] (numeric) = 1.7997005657314152453102307632623 absolute error = 2.10481942086340e-17 relative error = 1.1695386782344992796858034164667e-15 % h = 0.001 y2[1] (analytic) = 1.6003990382810871649607022094871 y2[1] (numeric) = 1.6003990382810871489532721124694 absolute error = 1.60074300970177e-17 relative error = 1.0002149285349810497616225198726e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.645 y1[1] (analytic) = 1.7990997669429511357184818651779 y1[1] (numeric) = 1.7990997669429511146476435193613 absolute error = 2.10708383458166e-17 relative error = 1.1711878759019787801353717206662e-15 % h = 0.001 y2[1] (analytic) = 1.6011984385140410353515079898995 y2[1] (numeric) = 1.6011984385140410192935736061088 absolute error = 1.60579343837907e-17 relative error = 1.0028697254222239055302385264288e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.646 y1[1] (analytic) = 1.7984981690547866537724285643704 y1[1] (numeric) = 1.7984981690547866326790260803976 absolute error = 2.10934024839728e-17 relative error = 1.1728342484250949137880872948005e-15 % h = 0.001 y2[1] (analytic) = 1.6019972375486064915694845932574 y2[1] (numeric) = 1.6019972375486064754609846564623 absolute error = 1.61084999367951e-17 relative error = 1.0055260745295978735016265370837e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=949.8MB, alloc=4.6MB, time=63.68 NO POLE NO POLE x[1] = 0.647 y1[1] (analytic) = 1.7978957726685196585515913395922 y1[1] (numeric) = 1.7978957726685196374357048163483 absolute error = 2.11158865232439e-17 relative error = 1.1744777892159304267928042748931e-15 % h = 0.001 y2[1] (analytic) = 1.6027954345859845656157597964862 y2[1] (numeric) = 1.6027954345859845494566331499875 absolute error = 1.61591266464987e-17 relative error = 1.0081839701940963691097215324809e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.648 y1[1] (analytic) = 1.7972925783865464861232682294208 y1[1] (numeric) = 1.7972925783865464649849778655107 absolute error = 2.11382903639101e-17 relative error = 1.1761184916751965409709461781745e-15 % h = 0.001 y2[1] (analytic) = 1.6035930288279782866286771176028 y2[1] (numeric) = 1.6035930288279782704188627143722 absolute error = 1.62098144032306e-17 relative error = 1.0108434067637413100662735881089e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=953.6MB, alloc=4.6MB, time=64.28 NO POLE NO POLE x[1] = 0.649 y1[1] (analytic) = 1.796688586812061368194443173288 y1[1] (numeric) = 1.796688586812061347033829266897 absolute error = 2.11606139063910e-17 relative error = 1.1777563491922186495569324814471e-15 % h = 0.001 y2[1] (analytic) = 1.6043900194769934790807001609604 y2[1] (numeric) = 1.6043900194769934628201370637788 absolute error = 1.62605630971816e-17 relative error = 1.0135043785975615823057709968541e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.65 y1[1] (analytic) = 1.7960837985490558289176045706799 y1[1] (numeric) = 1.7960837985490558077347475194344 absolute error = 2.11828570512455e-17 relative error = 1.1793913551448885693264664973607e-15 % h = 0.001 y2[1] (analytic) = 1.6051864057360395603725216786059 y2[1] (numeric) = 1.6051864057360395440611490602012 absolute error = 1.63113726184047e-17 relative error = 1.0161668800655777895972244797908e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=957.5MB, alloc=4.6MB, time=64.89 NO POLE NO POLE x[1] = 0.651 y1[1] (analytic) = 1.7954782142023180808992714612743 y1[1] (numeric) = 1.7954782142023180596942517621019 absolute error = 2.12050196991724e-17 relative error = 1.1810235028996556743497231317854e-15 % h = 0.001 y2[1] (analytic) = 1.6059821868087303378235797537072 y2[1] (numeric) = 1.6059821868087303214613368968924 absolute error = 1.63622428568148e-17 relative error = 1.0188309055487372246422078732382e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.652 y1[1] (analytic) = 1.7948718343774324204118313174373 y1[1] (numeric) = 1.7948718343774323991847295664272 absolute error = 2.12271017510101e-17 relative error = 1.1826527858114678602418709340029e-15 % h = 0.001 y2[1] (analytic) = 1.6067773618992848050581841156014 y2[1] (numeric) = 1.6067773618992847886450104134123 absolute error = 1.64131737021891e-17 relative error = 1.0214964494388925888026114971893e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=961.3MB, alloc=4.6MB, time=65.49 NO POLE NO POLE x[1] = 0.653 y1[1] (analytic) = 1.7942646596807786218092942371924 y1[1] (numeric) = 1.7942646596807786005601911294553 absolute error = 2.12491031077371e-17 relative error = 1.1842791972237569665449189312358e-15 % h = 0.001 y2[1] (analytic) = 1.6075719302125279377864562004034 y2[1] (numeric) = 1.6075719302125279213222911562362 absolute error = 1.64641650441672e-17 relative error = 1.0241635061387621032199674666123e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.654 y1[1] (analytic) = 1.7936566907195313311475691218565 y1[1] (numeric) = 1.7936566907195313098765454513845 absolute error = 2.12710236704720e-17 relative error = 1.1859027304683962847620176095389e-15 % h = 0.001 y2[1] (analytic) = 1.6083658909538914889792871763013 y2[1] (numeric) = 1.60836589095389147246407040405 absolute error = 1.65152167722513e-17 relative error = 1.0268320700618959456774940345508e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=965.1MB, alloc=4.6MB, time=66.09 x[1] = 0.655 y1[1] (analytic) = 1.7930479281016594590098682180164 y1[1] (numeric) = 1.7930479281016594377170048775427 absolute error = 2.12928633404737e-17 relative error = 1.1875233788656691254618517388735e-15 % h = 0.001 y2[1] (analytic) = 1.609159243329414783436518758647 y2[1] (numeric) = 1.6091592433294147668701899828406 absolute error = 1.65663287758064e-17 relative error = 1.0295021356326427768859041489313e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.656 y1[1] (analytic) = 1.792438372435925572537847198391 y1[1] (numeric) = 1.7924383724359255512232251792492 absolute error = 2.13146220191418e-17 relative error = 1.1891411357242484706085622244417e-15 % h = 0.001 y2[1] (analytic) = 1.6099519865457455117475522467268 y2[1] (numeric) = 1.6099519865457454951300513026665 absolute error = 1.66175009440603e-17 relative error = 1.0321736972861039331406695313648e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.657 y1[1] (analytic) = 1.7918280243318852866690887503875 y1[1] (numeric) = 1.7918280243318852653327891423712 absolute error = 2.13362996080163e-17 relative error = 1.1907559943411375094472547192630e-15 % h = 0.001 y2[1] (analytic) = 1.6107441198101405236435918216702 y2[1] (numeric) = 1.6107441198101405069748586555661 absolute error = 1.66687331661041e-17 relative error = 1.0348467494681187859702682982562e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=968.9MB, alloc=4.6MB, time=66.72 NO POLE NO POLE x[1] = 0.658 y1[1] (analytic) = 1.7912168843998866545815384348186 y1[1] (numeric) = 1.7912168843998866332236424260403 absolute error = 2.13578960087783e-17 relative error = 1.1923679480016658721062837289382e-15 % h = 0.001 y2[1] (analytic) = 1.6115356423304666207407287533185 y2[1] (numeric) = 1.6115356423304666040207034224263 absolute error = 1.67200253308922e-17 relative error = 1.0375212866352191088920924523581e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.659 y1[1] (analytic) = 1.7906049532510695573455023702928 y1[1] (numeric) = 1.790604953251069535966091247043 absolute error = 2.13794111232498e-17 relative error = 1.1939769899794355844413593491223e-15 % h = 0.001 y2[1] (analytic) = 1.6123265533152013486730737730358 y2[1] (numeric) = 1.6123265533152013319016964457937 absolute error = 1.67713773272421e-17 relative error = 1.0401973032545711644854768190306e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=972.7MB, alloc=4.6MB, time=67.31 NO POLE NO POLE x[1] = 0.66 y1[1] (analytic) = 1.7899922314973650927838170912302 y1[1] (numeric) = 1.789992231497365071382972237836 absolute error = 2.14008448533942e-17 relative error = 1.1955831135363060097020333032766e-15 % h = 0.001 y2[1] (analytic) = 1.6131168519734337886151454793963 y2[1] (numeric) = 1.613116851973433771792356435561 absolute error = 1.68227890438353e-17 relative error = 1.0428747938039861431068437361647e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.661 y1[1] (analytic) = 1.7893787197514949635408027192822 y1[1] (numeric) = 1.7893787197514949421186056179661 absolute error = 2.14221971013161e-17 relative error = 1.1971863119223396308707152492129e-15 % h = 0.001 y2[1] (analytic) = 1.6139065375148653481927232544241 y2[1] (numeric) = 1.6139065375148653313184628852073 absolute error = 1.68742603692168e-17 relative error = 1.0455537527718438152809316909869e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=976.5MB, alloc=4.6MB, time=67.92 NO POLE NO POLE x[1] = 0.662 y1[1] (analytic) = 1.7887644186269708643606113791516 y1[1] (numeric) = 1.7887644186269708429171436098899 absolute error = 2.14434677692617e-17 relative error = 1.1987865783757812554899762257200e-15 % h = 0.001 y2[1] (analytic) = 1.6146956091498105517813737796007 y2[1] (numeric) = 1.6146956091498105348555825878048 absolute error = 1.69257911917959e-17 relative error = 1.0482341746570969091540567736942e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.663 y1[1] (analytic) = 1.7881493287380938685755835804134 y1[1] (numeric) = 1.7881493287380938471109268207944 absolute error = 2.14646567596190e-17 relative error = 1.2003839061230259841888247494891e-15 % h = 0.001 y2[1] (analytic) = 1.6154840660891978301918608531767 y2[1] (numeric) = 1.6154840660891978132144794533311 absolute error = 1.69773813998456e-17 relative error = 1.0509160539691888042875662885465e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=980.3MB, alloc=4.6MB, time=68.53 NO POLE NO POLE x[1] = 0.664 y1[1] (analytic) = 1.7875334506999538138052260769289 y1[1] (numeric) = 1.787533450699953792319462102011 absolute error = 2.14857639749179e-17 relative error = 1.2019782883785815101464725164930e-15 % h = 0.001 y2[1] (analytic) = 1.6162719075445703097416488234469 y2[1] (numeric) = 1.6162719075445702927126179419433 absolute error = 1.70290308815036e-17 relative error = 1.0535993852280704501799763664598e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.665 y1[1] (analytic) = 1.7869167851284286868664255048233 y1[1] (numeric) = 1.7869167851284286653596361869929 absolute error = 2.15067893178304e-17 relative error = 1.2035697183450359281955893879591e-15 % h = 0.001 y2[1] (analytic) = 1.6170591327280866007117105665481 y2[1] (numeric) = 1.6170591327280865836309710417763 absolute error = 1.70807395247718e-17 relative error = 1.0562841629641244649313393793025e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.666 y1[1] (analytic) = 1.786299332640184007895512888763 y1[1] (numeric) = 1.7862993326401839863677801975924 absolute error = 2.15277326911706e-17 relative error = 1.2051581892130142722807185459915e-15 % h = 0.001 y2[1] (analytic) = 1.6178457408525215851878515520396 y2[1] (numeric) = 1.6178457408525215680553443345227 absolute error = 1.71325072175169e-17 relative error = 1.0589703817181574378720755960429e-15 % h = 0.001 memory used=984.2MB, alloc=4.6MB, time=69.13 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.667 y1[1] (analytic) = 1.7856810938526722136827948944167 y1[1] (numeric) = 1.7856810938526721921342008965214 absolute error = 2.15485939978953e-17 relative error = 1.2067436941611685547212336399739e-15 % h = 0.001 y2[1] (analytic) = 1.6186317311312672042857621550066 y2[1] (numeric) = 1.6186317311312671871014283075363 absolute error = 1.71843338474703e-17 relative error = 1.0616580360413489989226828028024e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.668 y1[1] (analytic) = 1.7850620693841320402201684925159 y1[1] (numeric) = 1.7850620693841320186507953514123 absolute error = 2.15693731411036e-17 relative error = 1.2083262263561117556962046797557e-15 % h = 0.001 y2[1] (analytic) = 1.6194171027783332447590109897005 y2[1] (numeric) = 1.6194171027783332275227916874719 absolute error = 1.72362193022286e-17 relative error = 1.0643471204952380774320310341690e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=988.0MB, alloc=4.6MB, time=69.73 NO POLE NO POLE x[1] = 0.669 y1[1] (analytic) = 1.7844422598535879044624364868518 y1[1] (numeric) = 1.7844422598535878828723664628141 absolute error = 2.15900700240377e-17 relative error = 1.2099057789524189146357875203658e-15 % h = 0.001 y2[1] (analytic) = 1.6202018550083481249891926567879 y2[1] (numeric) = 1.6202018550083481077010291875346 absolute error = 1.72881634692533e-17 relative error = 1.0670376296516598152515360990552e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.67 y1[1] (analytic) = 1.7838216658808492853029421448381 y1[1] (numeric) = 1.7838216658808492636922575947556 absolute error = 2.16106845500825e-17 relative error = 1.2114823450925609439596560644073e-15 % h = 0.001 y2[1] (analytic) = 1.6209859870365596803574439141266 y2[1] (numeric) = 1.6209859870365596630172776782551 absolute error = 1.73401662358715e-17 relative error = 1.0697295580927443447956342735064e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=991.8MB, alloc=4.6MB, time=70.37 NO POLE NO POLE x[1] = 0.671 y1[1] (analytic) = 1.7832002880865101037641419549564 y1[1] (numeric) = 1.7832002880865100821329253321902 absolute error = 2.16312166227662e-17 relative error = 1.2130559179068943749913571697609e-15 % h = 0.001 y2[1] (analytic) = 1.6217694980788359479965428996171 y2[1] (numeric) = 1.6217694980788359306043154103416 absolute error = 1.73922274892755e-17 relative error = 1.0724229004108477344126919218908e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.672 y1[1] (analytic) = 1.7825781270919481024037363204577 y1[1] (numeric) = 1.7825781270919480807520701746976 absolute error = 2.16516661457601e-17 relative error = 1.2146264905136061949827594149457e-15 % h = 0.001 y2[1] (analytic) = 1.6225523873516659509228066540965 y2[1] (numeric) = 1.6225523873516659334784595375729 absolute error = 1.74443471165236e-17 relative error = 1.0751176512085570823753306666119e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=995.6MB, alloc=4.6MB, time=71.04 NO POLE NO POLE x[1] = 0.673 y1[1] (analytic) = 1.7819551835193242239369787831393 y1[1] (numeric) = 1.7819551835193242022649457602601 absolute error = 2.16720330228792e-17 relative error = 1.2161940560187034545084405348652e-15 % h = 0.001 y2[1] (analytic) = 1.6233346540721604815470028124424 y2[1] (numeric) = 1.6233346540721604640504778079025 absolute error = 1.74965250045399e-17 relative error = 1.0778138050986339855503849402093e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.674 y1[1] (analytic) = 1.7813314579915819890757851548342 y1[1] (numeric) = 1.7813314579915819673834679967523 absolute error = 2.16923171580819e-17 relative error = 1.2177586075159523204586700476312e-15 % h = 0.001 y2[1] (analytic) = 1.6241162974580528845634919520396 y2[1] (numeric) = 1.6241162974580528670147309119253 absolute error = 1.75487610401143e-17 relative error = 1.0805113567039704769726438716856e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=999.4MB, alloc=4.6MB, time=71.73 NO POLE NO POLE x[1] = 0.675 y1[1] (analytic) = 1.780706951132446873585264717454 y1[1] (numeric) = 1.7807069511324468518727462619834 absolute error = 2.17125184554706e-17 relative error = 1.2193201380868675341127711117910e-15 % h = 0.001 y2[1] (analytic) = 1.6248973167276998392168177095343 y2[1] (numeric) = 1.6248973167276998216157625996312 absolute error = 1.76010551099031e-17 relative error = 1.0832103006575820070918726306625e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.676 y1[1] (analytic) = 1.7800816635664256845582964350008 y1[1] (numeric) = 1.7800816635664256628256596157092 absolute error = 2.17326368192916e-17 relative error = 1.2208786408006625143926794300697e-15 % h = 0.001 y2[1] (analytic) = 1.6256777111000821409449623993491 y2[1] (numeric) = 1.6256777111000821232915552989201 absolute error = 1.76534071004290e-17 relative error = 1.0859106316025635287278162704915e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.677 y1[1] (analytic) = 1.7794555959188059359087739029204 y1[1] (numeric) = 1.779455595918805914156101748985 absolute error = 2.17526721539354e-17 relative error = 1.2224341087142218261737638646531e-15 % h = 0.001 y2[1] (analytic) = 1.6264574797948054823984864907691 y2[1] (numeric) = 1.6264574797948054646926695926878 absolute error = 1.77058168980813e-17 relative error = 1.0886123441920579963895165136147e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1003.2MB, alloc=4.6MB, time=72.37 NO POLE NO POLE x[1] = 0.678 y1[1] (analytic) = 1.7788287488156552230841435414996 y1[1] (numeric) = 1.7788287488156552013115191775629 absolute error = 2.17726243639367e-17 relative error = 1.2239865348720567168655544689592e-15 % h = 0.001 y2[1] (analytic) = 1.6272366220321012338347709245244 y2[1] (numeric) = 1.6272366220321012160764865354086 absolute error = 1.77582843891158e-17 relative error = 1.0913154330892065112918218718459e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.679 y1[1] (analytic) = 1.778201122883820596997861320718 y1[1] (numeric) = 1.7782011228838205752053679667431 absolute error = 2.17924933539749e-17 relative error = 1.2255359123062886687027618072990e-15 % h = 0.001 y2[1] (analytic) = 1.6280151370328272228865818746926 y2[1] (numeric) = 1.6280151370328272050757724150372 absolute error = 1.78108094596554e-17 relative error = 1.0940198929671415979784057722799e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1007.0MB, alloc=4.6MB, time=72.98 NO POLE NO POLE x[1] = 0.68 y1[1] (analytic) = 1.7775727187509279371823940840443 y1[1] (numeric) = 1.7775727187509279153701150551704 absolute error = 2.18122790288739e-17 relative error = 1.2270822340365935281201458557135e-15 % h = 0.001 y2[1] (analytic) = 1.6287930240184685137041781874202 y2[1] (numeric) = 1.6287930240184684958407861917302 absolute error = 1.78633919956900e-17 relative error = 1.0967257185089375149718181862325e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.681 y1[1] (analytic) = 1.7769435370453813241633923181245 y1[1] (numeric) = 1.7769435370453813023314110245219 absolute error = 2.18319812936026e-17 relative error = 1.2286254930701849015608728465877e-15 % h = 0.001 y2[1] (analytic) = 1.6295702822111381854701823544214 y2[1] (numeric) = 1.6295702822111381675541504713445 absolute error = 1.79160318830769e-17 relative error = 1.0994329044075913821292727181882e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1010.9MB, alloc=4.6MB, time=73.58 NO POLE NO POLE x[1] = 0.682 y1[1] (analytic) = 1.776313578396362411055661994136 y1[1] (numeric) = 1.7763135783963623892040619408614 absolute error = 2.18516000532746e-17 relative error = 1.2301656824017524703767746829755e-15 % h = 0.001 y2[1] (analytic) = 1.6303469108335781102864365064475 y2[1] (numeric) = 1.6303469108335780923177074989068 absolute error = 1.79687290075407e-17 relative error = 1.1021414453659736851364166734383e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.683 y1[1] (analytic) = 1.7756828434338297943815638847851 y1[1] (numeric) = 1.7756828434338297725104286716359 absolute error = 2.18711352131492e-17 relative error = 1.2317027950134733771824292578280e-15 % h = 0.001 y2[1] (analytic) = 1.6311229091091597304320655399362 y2[1] (numeric) = 1.6311229091091597124105822852628 absolute error = 1.80214832546734e-17 relative error = 1.1048513360967911744191968996826e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1014.7MB, alloc=4.6MB, time=74.19 NO POLE NO POLE x[1] = 0.684 y1[1] (analytic) = 1.7750513327885183841124695384931 y1[1] (numeric) = 1.7750513327885183622218828598627 absolute error = 2.18905866786304e-17 relative error = 1.2332368238749109552005682611028e-15 % h = 0.001 y2[1] (analytic) = 1.631898276261884834991970118843 y2[1] (numeric) = 1.6318982762618848169176756089077 absolute error = 1.80742945099353e-17 relative error = 1.1075625713225988840776856457037e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.685 y1[1] (analytic) = 1.7744190470919387729339038692666 y1[1] (numeric) = 1.7744190470919387510239495139983 absolute error = 2.19099543552683e-17 relative error = 1.2347677619430484884265409925536e-15 % h = 0.001 y2[1] (analytic) = 1.6326730115163863358549729232243 y2[1] (numeric) = 1.63267301151638631772781026457 absolute error = 1.81271626586543e-17 relative error = 1.1102751457757141094078103016232e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1018.5MB, alloc=4.6MB, time=74.80 NO POLE NO POLE x[1] = 0.686 y1[1] (analytic) = 1.7737859869763766047350050970526 y1[1] (numeric) = 1.7737859869763765828057669482944 absolute error = 2.19292381487582e-17 relative error = 1.2362956021621933693144303665868e-15 % h = 0.001 y2[1] (analytic) = 1.6334471140979290430808421464934 y2[1] (numeric) = 1.6334471140979290249007545604669 absolute error = 1.81800875860265e-17 relative error = 1.1129890541982102072286116989817e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.687 y1[1] (analytic) = 1.7731521530748919423229335490696 y1[1] (numeric) = 1.7731521530748919203744955841279 absolute error = 2.19484379649417e-17 relative error = 1.2378203374639938362246640386542e-15 % h = 0.001 y2[1] (analytic) = 1.6342205832324104396354168743884 y2[1] (numeric) = 1.634220583232410421402347697272 absolute error = 1.82330691771164e-17 relative error = 1.1157042913418859289609810639719e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.688 y1[1] (analytic) = 1.7725175460213186343628616076503 y1[1] (numeric) = 1.7725175460213186123953078978442 absolute error = 2.19675537098061e-17 relative error = 1.2393419607673598295019916718703e-15 % h = 0.001 y2[1] (analytic) = 1.6349934181463614554930596105924 y2[1] (numeric) = 1.6349934181463614372069522937354 absolute error = 1.82861073168570e-17 relative error = 1.1184208519682287162896348011850e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1022.3MB, alloc=4.6MB, time=75.40 NO POLE NO POLE x[1] = 0.689 y1[1] (analytic) = 1.7718821664502636815441778645549 y1[1] (numeric) = 1.7718821664502636595575925750699 absolute error = 2.19865852894850e-17 relative error = 1.2408604649784513936781629596019e-15 % h = 0.001 y2[1] (analytic) = 1.6357656180669472411056618466169 y2[1] (numeric) = 1.6357656180669472227664599565672 absolute error = 1.83392018900497e-17 relative error = 1.1211387308483658659910766796042e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.69 y1[1] (analytic) = 1.7712460149971066019735393154978 y1[1] (numeric) = 1.7712460149971065799680067052392 absolute error = 2.20055326102586e-17 relative error = 1.2423758429906501089924719329622e-15 % h = 0.001 y2[1] (analytic) = 1.6365371822219679402374292070087 y2[1] (numeric) = 1.6365371822219679218450764256437 absolute error = 1.83923527813650e-17 relative error = 1.1238579227630647085198744498621e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1026.1MB, alloc=4.6MB, time=76.02 NO POLE NO POLE x[1] = 0.691 y1[1] (analytic) = 1.7706090922979987957954062017814 y1[1] (numeric) = 1.7706090922979987737710106232283 absolute error = 2.20243955785531e-17 relative error = 1.2438880876844796229961833003390e-15 % h = 0.001 y2[1] (analytic) = 1.6373081098398594621646733351585 y2[1] (numeric) = 1.637308109839859443719113459816 absolute error = 1.84455598753425e-17 relative error = 1.1265784225026900248440439599818e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.692 y1[1] (analytic) = 1.7699713989898629090406948784514 y1[1] (numeric) = 1.7699713989898628869975207775095 absolute error = 2.20431741009419e-17 relative error = 1.2453971919276276986976519726501e-15 % h = 0.001 y2[1] (analytic) = 1.6380784001496942532398383199832 y2[1] (numeric) = 1.6380784001496942347410152635925 absolute error = 1.84988230563907e-17 relative error = 1.1293002248671493660834124805723e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1029.9MB, alloc=4.6MB, time=76.67 NO POLE NO POLE x[1] = 0.693 y1[1] (analytic) = 1.7693329357103921967041848602655 y1[1] (numeric) = 1.7693329357103921746423167761205 absolute error = 2.20618680841450e-17 relative error = 1.2469031485748665686859754003394e-15 % h = 0.001 y2[1] (analytic) = 1.638848052381182067818990099522 y2[1] (numeric) = 1.6388480523811820492668478907342 absolute error = 1.85521422087878e-17 relative error = 1.1320233246658995377592970616981e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.694 y1[1] (analytic) = 1.7686937030980498850513169680168 y1[1] (numeric) = 1.7686937030980498629708395329873 absolute error = 2.20804774350295e-17 relative error = 1.2484059504680353012254881275544e-15 % h = 0.001 y2[1] (analytic) = 1.639617065764670738551997914018 y2[1] (numeric) = 1.6396170657646707199464806973367 absolute error = 1.86055172166813e-17 relative error = 1.1347477167178798699482586133527e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1033.7MB, alloc=4.6MB, time=77.33 NO POLE NO POLE x[1] = 0.695 y1[1] (analytic) = 1.7680537017920685331550202683599 y1[1] (numeric) = 1.7680537017920685110560182077502 absolute error = 2.20990020606097e-17 relative error = 1.2499055904359994959231718204590e-15 % h = 0.001 y2[1] (analytic) = 1.6403854395311469460346375183712 y2[1] (numeric) = 1.6403854395311469273756895542825 absolute error = 1.86589479640887e-17 relative error = 1.1374733958515127246248500083094e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.696 y1[1] (analytic) = 1.7674129324324493936632062702603 y1[1] (numeric) = 1.767412932432449371545764402213 absolute error = 2.21174418680473e-17 relative error = 1.2514020612946165414638125940842e-15 % h = 0.001 y2[1] (analytic) = 1.641153172912236987821846501921 y2[1] (numeric) = 1.6411531729122369691094121670239 absolute error = 1.87124343348971e-17 relative error = 1.1402003569046369676114056534427e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1037.6MB, alloc=4.6MB, time=77.95 NO POLE NO POLE x[1] = 0.697 y1[1] (analytic) = 1.7667713956599617727975696105186 y1[1] (numeric) = 1.766771395659961750661772845867 absolute error = 2.21357967646516e-17 relative error = 1.2528953558467007893941873140268e-15 % h = 0.001 y2[1] (analytic) = 1.6419202651402075468013627023692 y2[1] (numeric) = 1.6419202651402075280353864895052 absolute error = 1.87659762128640e-17 relative error = 1.1429285947245147044729038044740e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.698 y1[1] (analytic) = 1.7661290921161423895843352295162 y1[1] (numeric) = 1.7661290921161423674302685716367 absolute error = 2.21540666578795e-17 relative error = 1.2543854668819773194792406224514e-15 % h = 0.001 y2[1] (analytic) = 1.6426867154479664589269773402679 y2[1] (numeric) = 1.6426867154479664401074038586509 absolute error = 1.88195734816170e-17 relative error = 1.1456581041677710262208880610391e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.699 y1[1] (analytic) = 1.765486022443294734317592806382 y1[1] (numeric) = 1.7654860224432947121453413510463 absolute error = 2.21722514553357e-17 relative error = 1.2558723871770469241299662563746e-15 % h = 0.001 y2[1] (analytic) = 1.643452523069063480310635140883 y2[1] (numeric) = 1.643452523069063461437409116229 absolute error = 1.88732260246540e-17 relative error = 1.1483888801003643396337018175478e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1041.4MB, alloc=4.6MB, time=78.56 NO POLE NO POLE x[1] = 0.7 y1[1] (analytic) = 1.7648421872844884262558599901919 y1[1] (numeric) = 1.7648421872844884040655089254188 absolute error = 2.21903510647731e-17 relative error = 1.2573561094953623403872504956390e-15 % h = 0.001 y2[1] (analytic) = 1.6442176872376910536726143513987 y2[1] (numeric) = 1.6442176872376910347456806260547 absolute error = 1.89269337253440e-17 relative error = 1.1511209173975932642057630341793e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.701 y1[1] (analytic) = 1.7641975872835585705525167305838 y1[1] (numeric) = 1.7641975872835585483441513364912 absolute error = 2.22083653940926e-17 relative error = 1.2588366265871704117719041412738e-15 % h = 0.001 y2[1] (analytic) = 1.6449822071886850741490202033442 y2[1] (numeric) = 1.6449822071886850551683237364177 absolute error = 1.89806964669265e-17 relative error = 1.1538542109440183948754824982500e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1045.2MB, alloc=4.6MB, time=79.16 NO POLE NO POLE x[1] = 0.702 y1[1] (analytic) = 1.7635522230851051144207537773021 y1[1] (numeric) = 1.7635522230851050921944594259582 absolute error = 2.22262943513439e-17 relative error = 1.2603139311895108187448592947236e-15 % h = 0.001 y2[1] (analytic) = 1.6457460821575256544558260128154 y2[1] (numeric) = 1.6457460821575256354213118803036 absolute error = 1.90345141325118e-17 relative error = 1.1565887556334389616566579815491e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.703 y1[1] (analytic) = 1.7629060953344922025336791836665 y1[1] (numeric) = 1.7629060953344921802895413389419 absolute error = 2.22441378447246e-17 relative error = 1.2617880160261183664401718344185e-15 % h = 0.001 y2[1] (analytic) = 1.6465093113803378894086967545133 y2[1] (numeric) = 1.6465093113803378703203101494317 absolute error = 1.90883866050816e-17 relative error = 1.1593245463688877668875584220340e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1049.0MB, alloc=4.6MB, time=79.78 NO POLE NO POLE x[1] = 0.704 y1[1] (analytic) = 1.7622592046778475316602274138083 y1[1] (numeric) = 1.7622592046778475093983316312267 absolute error = 2.22618957825816e-17 relative error = 1.2632588738074555634675734896528e-15 % h = 0.001 y2[1] (analytic) = 1.6472718940938926197978305898392 y2[1] (numeric) = 1.6472718940938926006555168223499 absolute error = 1.91423137674893e-17 relative error = 1.1620615780626079170323660742581e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.705 y1[1] (analytic) = 1.7616115517620617045375164177085 y1[1] (numeric) = 1.7616115517620616822579483442982 absolute error = 2.22795680734103e-17 relative error = 1.2647264972306203785482960296358e-15 % h = 0.001 y2[1] (analytic) = 1.6480338295356071956170544742679 y2[1] (numeric) = 1.6480338295356071764207589718088 absolute error = 1.91962955024591e-17 relative error = 1.1647998456359567975978405914878e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1052.8MB, alloc=4.6MB, time=80.39 NO POLE NO POLE x[1] = 0.706 y1[1] (analytic) = 1.7609631372347875829802988016283 y1[1] (numeric) = 1.7609631372347875606831441757731 absolute error = 2.22971546258552e-17 relative error = 1.2661908789793332873910933594888e-15 % h = 0.001 y2[1] (analytic) = 1.6487951169435462386464106149696 y2[1] (numeric) = 1.6487951169435462193960789223822 absolute error = 1.92503316925874e-17 relative error = 1.1675393440194498025664642462404e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.707 y1[1] (analytic) = 1.7603139617444396402281539844266 y1[1] (numeric) = 1.7603139617444396179134986357165 absolute error = 2.23146553487101e-17 relative error = 1.2676520117239015594319671968788e-15 % h = 0.001 y2[1] (analytic) = 1.6495557555564224043874711961547 y2[1] (numeric) = 1.6495557555564223850830489758122 absolute error = 1.93044222203425e-17 relative error = 1.1702800681527008771350929699302e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1056.6MB, alloc=4.6MB, time=81.00 NO POLE NO POLE x[1] = 0.708 y1[1] (analytic) = 1.7596640259401933125310689925183 y1[1] (numeric) = 1.7596640259401932901989988416002 absolute error = 2.23320701509181e-17 relative error = 1.2691098881211720915425436649767e-15 % h = 0.001 y2[1] (analytic) = 1.6503157446135971433506194368912 y2[1] (numeric) = 1.6503157446135971239920524688267 absolute error = 1.93585669680645e-17 relative error = 1.1730220129843753364479773588479e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.709 y1[1] (analytic) = 1.7590133304719843499740563078382 y1[1] (numeric) = 1.7590133304719843276246573662664 absolute error = 2.23493989415718e-17 relative error = 1.2705645008144954990096402541775e-15 % h = 0.001 y2[1] (analytic) = 1.6510750833550814616935356941786 y2[1] (numeric) = 1.6510750833550814422807698762126 absolute error = 1.94127658179660e-17 relative error = 1.1757651734721912604837855024313e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.71 y1[1] (analytic) = 1.7583618759905081665414579441396 y1[1] (numeric) = 1.758361875990508144174816314226 absolute error = 2.23666416299136e-17 relative error = 1.2720158424336958057051321747589e-15 % h = 0.001 y2[1] (analytic) = 1.6518337710215366812101279728528 y2[1] (numeric) = 1.6518337710215366617431093207209 absolute error = 1.94670186521319e-17 relative error = 1.1785095445828663928164874084303e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1060.5MB, alloc=4.6MB, time=81.61 NO POLE NO POLE x[1] = 0.711 y1[1] (analytic) = 1.7577096631472191894215856872678 y1[1] (numeric) = 1.7577096631472191670377875619323 absolute error = 2.23837981253355e-17 relative error = 1.2734639055950116125979650326908e-15 % h = 0.001 y2[1] (analytic) = 1.6525918068542751986691468534576 y2[1] (numeric) = 1.6525918068542751791478215009377 absolute error = 1.95213253525199e-17 relative error = 1.1812551212921075360694591700303e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.712 y1[1] (analytic) = 1.7570566925943302075523481947161 y1[1] (numeric) = 1.7570566925943301851514798573362 absolute error = 2.24008683373799e-17 relative error = 1.2749086829010940404426642763038e-15 % h = 0.001 y2[1] (analytic) = 1.6533491900952612445017254995287 y2[1] (numeric) = 1.6533491900952612249260396985685 absolute error = 1.95756858009602e-17 relative error = 1.1840018985845515826263112833694e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1064.3MB, alloc=4.6MB, time=82.26 NO POLE NO POLE x[1] = 0.713 y1[1] (analytic) = 1.7564029649848117194085164087805 y1[1] (numeric) = 1.7564029649848116969906642330415 absolute error = 2.24178521757390e-17 relative error = 1.2763501669409249513926240109806e-15 % h = 0.001 y2[1] (analytic) = 1.6541059199871116408370860568158 y2[1] (numeric) = 1.6541059199871116212069861776595 absolute error = 1.96300998791563e-17 relative error = 1.1867498714537732012831670308360e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.714 y1[1] (analytic) = 1.7557484809723912800312794959955 y1[1] (numeric) = 1.7557484809723912575965299457398 absolute error = 2.24347495502557e-17 relative error = 1.2777883502898204134869161792316e-15 % h = 0.001 y2[1] (analytic) = 1.6548619957730965588856544087971 y2[1] (numeric) = 1.6548619957730965392010869401126 absolute error = 1.96845674686845e-17 relative error = 1.1894990349022139391866881760821e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1068.1MB, alloc=4.6MB, time=82.92 NO POLE NO POLE x[1] = 0.715 y1[1] (analytic) = 1.7550932412115528473007442832391 y1[1] (numeric) = 1.755093241211552824849183912316 absolute error = 2.24515603709231e-17 relative error = 1.2792232255093543969213279992004e-15 % h = 0.001 y2[1] (analytic) = 1.655617416697140275668825905437 y2[1] (numeric) = 1.6556174166971402559297374544422 absolute error = 1.97390884509948e-17 relative error = 1.1922493839411960714801074025294e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.716 y1[1] (analytic) = 1.7544372463575361274520319179542 y1[1] (numeric) = 1.7544372463575361049837473700691 absolute error = 2.24682845478851e-17 relative error = 1.2806547851473449894573797194506e-15 % h = 0.001 y2[1] (analytic) = 1.6563721820038219300946253354824 y2[1] (numeric) = 1.6563721820038219103009626280717 absolute error = 1.97936627074107e-17 relative error = 1.1950009135908699956935417090258e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1071.9MB, alloc=4.6MB, time=83.53 NO POLE NO POLE x[1] = 0.717 y1[1] (analytic) = 1.7537804970663359198356262363344 y1[1] (numeric) = 1.753780497066335897350704244898 absolute error = 2.24849219914364e-17 relative error = 1.2820830217378063609789266734430e-15 % h = 0.001 y2[1] (analytic) = 1.6571262909383762783785050667013 y2[1] (numeric) = 1.6571262909383762585302149475723 absolute error = 1.98482901191290e-17 relative error = 1.1977536188801617628677217253709e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.718 y1[1] (analytic) = 1.7531229939947014609226290790717 y1[1] (numeric) = 1.7531229939947014384211564670488 absolute error = 2.25014726120229e-17 relative error = 1.2835079278009234284856847684553e-15 % h = 0.001 y2[1] (analytic) = 1.6578797427466944488085259333295 y2[1] (numeric) = 1.6578797427466944289055553661085 absolute error = 1.99029705672210e-17 relative error = 1.2005074948468051899537961248481e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1075.7MB, alloc=4.6MB, time=84.14 NO POLE NO POLE x[1] = 0.719 y1[1] (analytic) = 1.7524647378001357675555785493558 y1[1] (numeric) = 1.7524647378001357450376422291143 absolute error = 2.25179363202415e-17 relative error = 1.2849294958429922185583268853551e-15 % h = 0.001 y2[1] (analytic) = 1.6586325366753246958541661056053 y2[1] (numeric) = 1.6586325366753246758964621729736 absolute error = 1.99577039326317e-17 relative error = 1.2032625365372532963987793053982e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.72 y1[1] (analytic) = 1.751805729140894979445486962252 y1[1] (numeric) = 1.7518057291408949569111739354117 absolute error = 2.25343130268403e-17 relative error = 1.2863477183563829209639651637333e-15 % h = 0.001 y2[1] (analytic) = 1.6593846719714731536180038326482 y2[1] (numeric) = 1.6593846719714731336055137364678 absolute error = 2.00124900961804e-17 relative error = 1.2060187390066743435011385521730e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.721 y1[1] (analytic) = 1.7511459686759877009157559883658 y1[1] (numeric) = 1.7511459686759876783651533456469 absolute error = 2.25506026427189e-17 relative error = 1.2877625878195085613414529993649e-15 % h = 0.001 y2[1] (analytic) = 1.6601361478830045886295206070606 y2[1] (numeric) = 1.6601361478830045685621916684998 absolute error = 2.00673289385608e-17 relative error = 1.2087760973189177594852476015603e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1079.5MB, alloc=4.6MB, time=84.74 NO POLE NO POLE x[1] = 0.722 y1[1] (analytic) = 1.750485457065174341893627247823 y1[1] (numeric) = 1.7504854570651743193268221688941 absolute error = 2.25668050789289e-17 relative error = 1.2891740966968050204495211387471e-15 % h = 0.001 y2[1] (analytic) = 1.6608869636584431519802719575123 y2[1] (numeric) = 1.6608869636584431318580516171708 absolute error = 2.01222203403415e-17 relative error = 1.2115346065465042336733310393213e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.723 y1[1] (analytic) = 1.7498241949689664581498273630602 y1[1] (numeric) = 1.7498241949689664355669071163868 absolute error = 2.25829202466734e-17 relative error = 1.2905822374386538516668766848783e-15 % h = 0.001 y2[1] (analytic) = 1.6616371185469731307996737341996 y2[1] (numeric) = 1.6616371185469731106225095522339 absolute error = 2.01771641819657e-17 relative error = 1.2142942617705676853610548825824e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1083.3MB, alloc=4.6MB, time=85.37 NO POLE NO POLE x[1] = 0.724 y1[1] (analytic) = 1.7491621830486260907870672307261 y1[1] (numeric) = 1.7491621830486260681881191734186 absolute error = 2.25989480573075e-17 relative error = 1.2919870024813620857487006576329e-15 % h = 0.001 y2[1] (analytic) = 1.6623866117984396990706524114553 y2[1] (numeric) = 1.6623866117984396788384920677038 absolute error = 2.02321603437515e-17 relative error = 1.2170550580808334756694716469237e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.725 y1[1] (analytic) = 1.7484994219661651049780560241387 y1[1] (numeric) = 1.7484994219661650823631676018003 absolute error = 2.26148884223384e-17 relative error = 1.2933883842471191049690853214662e-15 % h = 0.001 y2[1] (analytic) = 1.6631354426633496677844085919225 y2[1] (numeric) = 1.6631354426633496474971998860301 absolute error = 2.02872087058924e-17 relative error = 1.2198169905756086969036481543553e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1087.2MB, alloc=4.6MB, time=85.97 NO POLE NO POLE x[1] = 0.726 y1[1] (analytic) = 1.7478359123843445279536911882302 y1[1] (numeric) = 1.7478359123843445053229499348044 absolute error = 2.26307412534258e-17 relative error = 1.2947863751439705753364905776722e-15 % h = 0.001 y2[1] (analytic) = 1.6638836103928722344335435575901 y2[1] (numeric) = 1.6638836103928722140912344091329 absolute error = 2.03423091484572e-17 relative error = 1.2225800543617364211364648648124e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.727 y1[1] (analytic) = 1.7471716549666738862420864387327 y1[1] (numeric) = 1.7471716549666738635955799763511 absolute error = 2.26465064623816e-17 relative error = 1.2961809675657522468082500614296e-15 % h = 0.001 y2[1] (analytic) = 1.6646311142388397318427993746266 y2[1] (numeric) = 1.6646311142388397114453378232364 absolute error = 2.03974615513902e-17 relative error = 1.2253442445545680874588466812457e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1091.0MB, alloc=4.6MB, time=86.58 NO POLE NO POLE x[1] = 0.728 y1[1] (analytic) = 1.7465066503774105421591005265237 y1[1] (numeric) = 1.7465066503774105194969165653532 absolute error = 2.26621839611705e-17 relative error = 1.2975721538920751260288874962451e-15 % h = 0.001 y2[1] (analytic) = 1.6653779534537483763366637213347 y2[1] (numeric) = 1.6653779534537483558839979268233 absolute error = 2.04526657945114e-17 relative error = 1.2281095562779359568448340216057e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.729 y1[1] (analytic) = 1.7458408992815590295510302765453 y1[1] (numeric) = 1.7458408992815590068732566146355 absolute error = 2.26777736619098e-17 relative error = 1.2989599264882647841281249191149e-15 % h = 0.001 y2[1] (analytic) = 1.666124127290759015243091271684 y2[1] (numeric) = 1.666124127290758994735169514167 absolute error = 2.05079217575170e-17 relative error = 1.2308759846641436402491296982133e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1094.8MB, alloc=4.6MB, time=87.19 NO POLE NO POLE x[1] = 0.73 y1[1] (analytic) = 1.7451744023448703887901321585503 y1[1] (numeric) = 1.7451744023448703660968566816804 absolute error = 2.26932754768699e-17 relative error = 1.3003442777053406284071404783344e-15 % h = 0.001 y2[1] (analytic) = 1.6668696350036978737325941307615 y2[1] (numeric) = 1.6668696350036978531693648107827 absolute error = 2.05632293199788e-17 relative error = 1.2336435248538906535507547133687e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.731 y1[1] (analytic) = 1.7445071602338415010236373940972 y1[1] (numeric) = 1.7445071602338414783149480756229 absolute error = 2.27086893184743e-17 relative error = 1.3017251998799664573115161259853e-15 % h = 0.001 y2[1] (analytic) = 1.6676144758470573009919544831147 y2[1] (numeric) = 1.6676144758470572803733661217692 absolute error = 2.06185883613455e-17 relative error = 1.2364121719963111034252713054576e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.732 y1[1] (analytic) = 1.7438391736157144216769263507235 y1[1] (numeric) = 1.7438391736157143989529112514241 absolute error = 2.27240150992994e-17 relative error = 1.3031026853343894252074395155639e-15 % h = 0.001 y2[1] (analytic) = 1.6683586490759965157318132803332 y2[1] (numeric) = 1.6683586490759964950578145193914 absolute error = 2.06739987609418e-17 relative error = 1.2391819212488803968356032153551e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1098.6MB, alloc=4.6MB, time=87.83 NO POLE NO POLE x[1] = 0.733 y1[1] (analytic) = 1.7431704431584757132115287200688 y1[1] (numeric) = 1.7431704431584756904722759879932 absolute error = 2.27392527320756e-17 relative error = 1.3044767263764534357812372241234e-15 % h = 0.001 y2[1] (analytic) = 1.6691021539463423510273894603448 y2[1] (numeric) = 1.6691021539463423302979290623756 absolute error = 2.07294603979692e-17 relative error = 1.2419527677774240447442158854430e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.734 y1[1] (analytic) = 1.7425009695308557771386167218896 y1[1] (numeric) = 1.7425009695308557543842145922032 absolute error = 2.27544021296864e-17 relative error = 1.3058473152994977810037067724697e-15 % h = 0.001 y2[1] (analytic) = 1.6698449897145899984915848577685 y2[1] (numeric) = 1.6698449897145899777066117062623 absolute error = 2.07849731515062e-17 relative error = 1.2447247067560905042047150654299e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1102.4MB, alloc=4.6MB, time=88.49 NO POLE NO POLE x[1] = 0.735 y1[1] (analytic) = 1.7418307534023281852886593204188 y1[1] (numeric) = 1.7418307534023281625191961152495 absolute error = 2.27694632051693e-17 relative error = 1.3072144443823588782443103835475e-15 % h = 0.001 y2[1] (analytic) = 1.6705871556379037517797306322801 y2[1] (numeric) = 1.6705871556379037309391937317719 absolute error = 2.08405369005082e-17 relative error = 1.2474977333673061286935881913534e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.736 y1[1] (analytic) = 1.7411597954431090103379061833593 y1[1] (numeric) = 1.7411597954431089875534703116437 absolute error = 2.27844358717156e-17 relative error = 1.3085781058893088273667245817221e-15 % h = 0.001 y2[1] (analytic) = 1.671328650974117749425231710308 y2[1] (numeric) = 1.6713286509741177285290801865002 absolute error = 2.08961515238078e-17 relative error = 1.2502718428017541650591690302303e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1106.2MB, alloc=4.6MB, time=89.13 NO POLE NO POLE x[1] = 0.737 y1[1] (analytic) = 1.7404880963241561555923708569716 y1[1] (numeric) = 1.7404880963241561327930508143011 absolute error = 2.27993200426705e-17 relative error = 1.3099382920700110546342679249608e-15 % h = 0.001 y2[1] (analytic) = 1.672069474981736717005366404475 y2[1] (numeric) = 1.6720694749817366960535495043599 absolute error = 2.09518169001151e-17 relative error = 1.2530470302583537998737723032535e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.738 y1[1] (analytic) = 1.7398156567171686840299833732174 y1[1] (numeric) = 1.7398156567171686612158677416838 absolute error = 2.28141156315336e-17 relative error = 1.3112949951594988371264310554293e-15 % h = 0.001 y2[1] (analytic) = 1.6728096269199367086364990450493 y2[1] (numeric) = 1.6728096269199366876289661370315 absolute error = 2.10075329080178e-17 relative error = 1.2558232909442272991198766579834e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1110.0MB, alloc=4.6MB, time=89.81 NO POLE NO POLE x[1] = 0.739 y1[1] (analytic) = 1.7391424772945861466015832467493 y1[1] (numeric) = 1.7391424772945861237727606947905 absolute error = 2.28288225519588e-17 relative error = 1.3126482073781192699515693038314e-15 % h = 0.001 y2[1] (analytic) = 1.6735491060485658477979641282533 y2[1] (numeric) = 1.6735491060485658267346647022721 absolute error = 2.10632994259812e-17 relative error = 1.2586006200746612533800551212356e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.74 y1[1] (analytic) = 1.7384685587295879097914245606988 y1[1] (numeric) = 1.7384685587295878869479838429443 absolute error = 2.28434407177545e-17 relative error = 1.3139979209314943522822766380689e-15 % h = 0.001 y2[1] (analytic) = 1.6742879116281450674838811576082 y2[1] (numeric) = 1.6742879116281450463647648252594 absolute error = 2.11191163323488e-17 relative error = 1.2613790128731037554723602385785e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1113.9MB, alloc=4.6MB, time=90.46 NO POLE NO POLE x[1] = 0.741 y1[1] (analytic) = 1.7377939016960924824378655807009 y1[1] (numeric) = 1.737793901696092459579895537817 absolute error = 2.28579700428839e-17 relative error = 1.3153441280104877296799247736477e-15 % h = 0.001 y2[1] (analytic) = 1.6750260429198688496821600265609 y2[1] (numeric) = 1.6750260429198688285071765212188 absolute error = 2.11749835053421e-17 relative error = 1.2641584645711138187659316887891e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.742 y1[1] (analytic) = 1.7371185068687568418149160764094 y1[1] (numeric) = 1.7371185068687568189425056349446 absolute error = 2.28724104414648e-17 relative error = 1.3166868207911425680880775809938e-15 % h = 0.001 y2[1] (analytic) = 1.6757634991856059641799574634498 y2[1] (numeric) = 1.6757634991856059429490566403886 absolute error = 2.12309008230612e-17 relative error = 1.2669389704083586623342450505060e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.743 y1[1] (analytic) = 1.7364423749229757589753162689006 y1[1] (numeric) = 1.7364423749229757360885544411303 absolute error = 2.28867618277703e-17 relative error = 1.3180259914346711054209684569200e-15 % h = 0.001 y2[1] (analytic) = 1.676500279687900206694845733414 y2[1] (numeric) = 1.6765002796879001854079775699296 absolute error = 2.12868681634844e-17 relative error = 1.2697205256325513489357908761180e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1117.7MB, alloc=4.6MB, time=91.12 NO POLE NO POLE x[1] = 0.744 y1[1] (analytic) = 1.7357655065348811233558220608284 y1[1] (numeric) = 1.7357655065348811004547979445999 absolute error = 2.29010241162285e-17 relative error = 1.3193616320873865597583363128972e-15 % h = 0.001 y2[1] (analytic) = 1.6772363836899711363309554661397 y2[1] (numeric) = 1.6772363836899711149880700616707 absolute error = 2.13428854044690e-17 relative error = 1.2725031254994601273888804399105e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.745 y1[1] (analytic) = 1.7350879023813412666453719439904 y1[1] (numeric) = 1.7350879023813412437301747225678 absolute error = 2.29151972214226e-17 relative error = 1.3206937348806579243211176889011e-15 % h = 0.001 y2[1] (analytic) = 1.6779718104557148123593551533613 y2[1] (numeric) = 1.6779718104557147909604027296103 absolute error = 2.13989524237510e-17 relative error = 1.2752867652728521887738466625222e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1121.5MB, alloc=4.6MB, time=91.75 NO POLE NO POLE x[1] = 0.746 y1[1] (analytic) = 1.7344095631399602859168117160826 y1[1] (numeric) = 1.7344095631399602629875306579909 absolute error = 2.29292810580917e-17 relative error = 1.3220222919309050085264963501208e-15 % h = 0.001 y2[1] (analytic) = 1.6787065592497045303219305358001 y2[1] (numeric) = 1.6787065592497045088668614368544 absolute error = 2.14550690989457e-17 relative error = 1.2780714402244911770198606298594e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.747 y1[1] (analytic) = 1.733730489489077366022853874859 y1[1] (numeric) = 1.7337304894890773430795783337289 absolute error = 2.29432755411301e-17 relative error = 1.3233472953395069413593765644959e-15 % h = 0.001 y2[1] (analytic) = 1.6794406293371915574580277757215 y2[1] (numeric) = 1.6794406293371915359467924681741 absolute error = 2.15112353075474e-17 relative error = 1.2808571456340811105757762923746e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1125.3MB, alloc=4.6MB, time=92.41 NO POLE NO POLE x[1] = 0.748 y1[1] (analytic) = 1.7330506821077661012569492936833 y1[1] (numeric) = 1.733050682107766078299768708095 absolute error = 2.29571805855883e-17 relative error = 1.3246687371928085451893118042461e-15 % h = 0.001 y2[1] (analytic) = 1.6801740199841058674531249885306 y2[1] (numeric) = 1.6801740199841058458856740616003 absolute error = 2.15674509269303e-17 relative error = 1.2836438767892818661251965686311e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.749 y1[1] (analytic) = 1.7323701416758338162797495175416 y1[1] (numeric) = 1.7323701416758337933087534108693 absolute error = 2.29709961066723e-17 relative error = 1.3259866095620285857396615206997e-15 % h = 0.001 y2[1] (analytic) = 1.6809067304570568745087973847929 y2[1] (numeric) = 1.6809067304570568528850815504451 absolute error = 2.16237158343478e-17 relative error = 1.2864316289856294289371828344960e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1129.1MB, alloc=4.6MB, time=93.07 NO POLE NO POLE x[1] = 0.75 y1[1] (analytic) = 1.7316888688738208863118387530001 y1[1] (numeric) = 1.7316888688738208633271167332557 absolute error = 2.29847220197444e-17 relative error = 1.3273009045032544190406269763896e-15 % h = 0.001 y2[1] (analytic) = 1.6816387600233341667332419527799 y2[1] (numeric) = 1.6816387600233341450532120458464 absolute error = 2.16800299069335e-17 relative error = 1.2892203975265574375130475926343e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.751 y1[1] (analytic) = 1.7310068643830000565934153593164 y1[1] (numeric) = 1.7310068643830000335950571189933 absolute error = 2.29983582403231e-17 relative error = 1.3286116140573846254981417351981e-15 % h = 0.001 y2[1] (analytic) = 1.6823701079509082388516282910726 y2[1] (numeric) = 1.6823701079509082171152352693717 absolute error = 2.17363930217009e-17 relative error = 1.2920101777233413939413975595037e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1132.9MB, alloc=4.6MB, time=93.73 NO POLE NO POLE x[1] = 0.752 y1[1] (analytic) = 1.7303241288853757611116033809685 y1[1] (numeric) = 1.7303241288853757380996986968849 absolute error = 2.30119046840836e-17 relative error = 1.3299187302501061766320322020178e-15 % h = 0.001 y2[1] (analytic) = 1.6831007735084312242355428809353 y2[1] (numeric) = 1.6831007735084312024427378253916 absolute error = 2.17928050555437e-17 relative error = 1.2948009648950786622192543991437e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.753 y1[1] (analytic) = 1.729640663063683440596075394231 y1[1] (numeric) = 1.7296406630636834175707141273739 absolute error = 2.30253612668571e-17 relative error = 1.3312222450918021619352516910481e-15 % h = 0.001 y2[1] (analytic) = 1.6838307559652376262507947690758 y2[1] (numeric) = 1.6838307559652376044015288838395 absolute error = 2.18492658852363e-17 relative error = 1.2975927543686803902883602670264e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.754 y1[1] (analytic) = 1.7289564676013888597836686721214 y1[1] (numeric) = 1.7289564676013888367449407674894 absolute error = 2.30387279046320e-17 relative error = 1.3325221505775691825025422193153e-15 % h = 0.001 y2[1] (analytic) = 1.6845600545913450489228513130465 y2[1] (numeric) = 1.6845600545913450270170759256133 absolute error = 2.19057753874332e-17 relative error = 1.3003855414787981481814548676582e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1136.7MB, alloc=4.6MB, time=94.39 NO POLE NO POLE x[1] = 0.755 y1[1] (analytic) = 1.7282715431826874239526774030409 y1[1] (numeric) = 1.7282715431826874009006728894877 absolute error = 2.30520045135532e-17 relative error = 1.3338184386871248422885517435072e-15 % h = 0.001 y2[1] (analytic) = 1.6852886686574549269191733239135 y2[1] (numeric) = 1.6852886686574549049568398852432 absolute error = 2.19623334386703e-17 relative error = 1.3031793215678634910135302920560e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.756 y1[1] (analytic) = 1.7275858904925034947275044287623 y1[1] (numeric) = 1.7275858904925034716623134188394 absolute error = 2.30651910099229e-17 relative error = 1.3351111013848018385462141143508e-15 % h = 0.001 y2[1] (analytic) = 1.6860165974349532548477196239165 y2[1] (numeric) = 1.6860165974349532328287797085524 absolute error = 2.20189399153641e-17 relative error = 1.3059740899860028595043536083279e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1140.6MB, alloc=4.6MB, time=95.04 NO POLE NO POLE x[1] = 0.757 y1[1] (analytic) = 1.7268995102164897051543566970552 y1[1] (numeric) = 1.7268995102164896820760693868549 absolute error = 2.30782873102003e-17 relative error = 1.3364001306194783330235268630792e-15 % h = 0.001 y2[1] (analytic) = 1.686743840195911315870891720679 y2[1] (numeric) = 1.6867438401959112937952970268666 absolute error = 2.20755946938124e-17 relative error = 1.3087698420910416237617947168656e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.758 y1[1] (analytic) = 1.7262124030410262740486693531968 y1[1] (numeric) = 1.7262124030410262509573760221947 absolute error = 2.30912933310021e-17 relative error = 1.3376855183245544941981745901263e-15 % h = 0.001 y2[1] (analytic) = 1.6874703962130864096341899840818 y2[1] (numeric) = 1.6874703962130863875018923338874 absolute error = 2.21322976501944e-17 relative error = 1.3115665732484725544840107135244e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1144.4MB, alloc=4.6MB, time=95.75 NO POLE NO POLE x[1] = 0.759 y1[1] (analytic) = 1.725524569653220319614944122886 y1[1] (numeric) = 1.7255245696532202965107351337839 absolute error = 2.31042089891021e-17 relative error = 1.3389672564178768183096033692987e-15 % h = 0.001 y2[1] (analytic) = 1.6881962647599225795088533972068 y2[1] (numeric) = 1.6881962647599225573198047366359 absolute error = 2.21890486605709e-17 relative error = 1.3143642788314302932352216465131e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.76 y1[1] (analytic) = 1.724836010740905172339688366667 y1[1] (numeric) = 1.7248360107409051492226541652347 absolute error = 2.31170342014323e-17 relative error = 1.3402453368017492270232903530697e-15 % h = 0.001 y2[1] (analytic) = 1.6889214451105513391477556387697 y2[1] (numeric) = 1.6889214451105513169019080378856 absolute error = 2.22458476008841e-17 relative error = 1.3171629542206421989834429805572e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1148.2MB, alloc=4.6MB, time=96.46 NO POLE NO POLE x[1] = 0.761 y1[1] (analytic) = 1.7241467269926396871581419128634 y1[1] (numeric) = 1.7241467269926396640283730277814 absolute error = 2.31297688850820e-17 relative error = 1.3415197513628281852450264764410e-15 % h = 0.001 y2[1] (analytic) = 1.6896459365397923983538309412086 y2[1] (numeric) = 1.6896459365397923760511365942498 absolute error = 2.23026943469588e-17 relative error = 1.3199625948044621729632908224129e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.762 y1[1] (analytic) = 1.7234567190977075548954795022417 y1[1] (numeric) = 1.7234567190977075317530665449429 absolute error = 2.31424129572988e-17 relative error = 1.3427904919721278038618998210788e-15 % h = 0.001 y2[1] (analytic) = 1.6903697383231543882603038560603 y2[1] (numeric) = 1.6903697383231543659007150815588 absolute error = 2.23595887745015e-17 relative error = 1.3227631959787801576167550135182e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1152.0MB, alloc=4.6MB, time=97.12 NO POLE NO POLE x[1] = 0.763 y1[1] (analytic) = 1.7227659877461166129831774031417 y1[1] (numeric) = 1.7227659877461165898282110676537 absolute error = 2.31549663354880e-17 relative error = 1.3440575504849320738172412686916e-15 % h = 0.001 y2[1] (analytic) = 1.6910928497368355858219977464571 y2[1] (numeric) = 1.6910928497368355634054669873561 absolute error = 2.24165307591010e-17 relative error = 1.3255647531470205623049874732793e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.764 y1[1] (analytic) = 1.722074533628598155451233480652 y1[1] (numeric) = 1.7220745336285981322838045434385 absolute error = 2.31674289372135e-17 relative error = 1.3453209187407939862900104430182e-15 % h = 0.001 y2[1] (analytic) = 1.6918152700577246376169975154955 y2[1] (numeric) = 1.6918152700577246151434773392667 absolute error = 2.24735201762288e-17 relative error = 1.3283672617201288656029935617575e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.765 y1[1] (analytic) = 1.7213823574366062421969307275509 y1[1] (numeric) = 1.7213823574366062190171300473534 absolute error = 2.31798006801975e-17 relative error = 1.3465805885634649323944327508620e-15 % h = 0.001 y2[1] (analytic) = 1.6925369985634012829579427688738 y2[1] (numeric) = 1.6925369985634012604273858676345 absolute error = 2.25305569012393e-17 relative error = 1.3311707171165464296340853374558e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1155.8MB, alloc=4.6MB, time=97.72 NO POLE NO POLE x[1] = 0.766 y1[1] (analytic) = 1.7206894598623170075308349881932 y1[1] (numeric) = 1.7206894598623169843387535058726 absolute error = 2.31920814823206e-17 relative error = 1.3478365517608471721595563552985e-15 % h = 0.001 y2[1] (analytic) = 1.6932580345321370763122283005656 y2[1] (numeric) = 1.6932580345321370537245874911963 absolute error = 2.25876408093693e-17 relative error = 1.3339751147621440327725050415031e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.767 y1[1] (analytic) = 1.7199958415986279680007183292872 y1[1] (numeric) = 1.719995841598627944796447067665 absolute error = 2.32042712616222e-17 relative error = 1.3490888001249636236351026094796e-15 % h = 0.001 y2[1] (analytic) = 1.6939783772428961090303894813906 y2[1] (numeric) = 1.6939783772428960863856177056515 absolute error = 2.26447717757391e-17 relative error = 1.3367804500902500186076374616154e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1159.6MB, alloc=4.6MB, time=98.32 NO POLE NO POLE x[1] = 0.768 y1[1] (analytic) = 1.7193015033391573294941002335805 y1[1] (numeric) = 1.7193015033391573062777302972797 absolute error = 2.32163699363008e-17 relative error = 1.3503373254319217557214592035892e-15 % h = 0.001 y2[1] (analytic) = 1.6946980259753357303819508221551 y2[1] (numeric) = 1.6946980259753357076800011468029 absolute error = 2.27019496753522e-17 relative error = 1.3395867185415957568377244781676e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.769 y1[1] (analytic) = 1.7186064457782432936200995138551 y1[1] (numeric) = 1.7186064457782432703917220891417 absolute error = 2.32283774247134e-17 relative error = 1.3515821194418250187392724227131e-15 % h = 0.001 y2[1] (analytic) = 1.6954169800098072678980166755753 y2[1] (numeric) = 1.6954169800098072451388422924797 absolute error = 2.27591743830956e-17 relative error = 1.3423939155642966270429787520141e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1163.5MB, alloc=4.6MB, time=98.92 NO POLE NO POLE x[1] = 0.77 y1[1] (analytic) = 1.7179106696109433633712905653243 y1[1] (numeric) = 1.7179106696109433401309969199477 absolute error = 2.32402936453766e-17 relative error = 1.3528231738987830106384031106175e-15 % h = 0.001 y2[1] (analytic) = 1.6961352386273567470198837344522 y2[1] (numeric) = 1.6961352386273567242034379607123 absolute error = 2.28164457737399e-17 relative error = 1.3452020366138212536950019801203e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.771 y1[1] (analytic) = 1.7172141755330336480662582945144 y1[1] (numeric) = 1.7172141755330336248141397775482 absolute error = 2.32521185169662e-17 relative error = 1.3540604805308343103796581884991e-15 % h = 0.001 y2[1] (analytic) = 1.696852801109725610052955677546 y2[1] (numeric) = 1.6968528011097255871791919556064 absolute error = 2.28737637219396e-17 relative error = 1.3480110771529726002445678128063e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1167.3MB, alloc=4.6MB, time=99.54 NO POLE NO POLE x[1] = 0.772 y1[1] (analytic) = 1.7165169642410081675735467820204 y1[1] (numeric) = 1.7165169642410081443096948237032 absolute error = 2.32638519583172e-17 relative error = 1.3552940310498924198533582404746e-15 % h = 0.001 y2[1] (analytic) = 1.6975696667393514344252410092942 y2[1] (numeric) = 1.6975696667393514114941129070608 absolute error = 2.29311281022334e-17 relative error = 1.3508210326518691055928983916580e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.773 y1[1] (analytic) = 1.7158190364320781558176974551284 y1[1] (numeric) = 1.7158190364320781325422035667039 absolute error = 2.32754938884245e-17 relative error = 1.3565238171517323641362701677965e-15 % h = 0.001 y2[1] (analytic) = 1.6982858347993686502497158349369 y2[1] (numeric) = 1.6982858347993686272611770458927 absolute error = 2.29885387890442e-17 relative error = 1.3536318985879081979617004788125e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1171.1MB, alloc=4.6MB, time=100.14 NO POLE NO POLE x[1] = 0.774 y1[1] (analytic) = 1.7151203928041713635680732642085 y1[1] (numeric) = 1.7151203928041713402810290377659 absolute error = 2.32870442264426e-17 relative error = 1.3577498305159189474610905848427e-15 % h = 0.001 y2[1] (analytic) = 1.6990013045736092571898340087447 y2[1] (numeric) = 1.6990013045736092341438383520656 absolute error = 2.30459956566791e-17 relative error = 1.3564436704457298955526716159555e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.775 y1[1] (analytic) = 1.7144210340559313605111660739955 y1[1] (numeric) = 1.7144210340559313372126631823095 absolute error = 2.32985028916860e-17 relative error = 1.3589720628057756573410117981649e-15 % h = 0.001 y2[1] (analytic) = 1.6997160753466035406274677899009 y2[1] (numeric) = 1.6997160753466035175239692105706 absolute error = 2.31034985793303e-17 relative error = 1.3592563437172334436192589138949e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.776 y1[1] (analytic) = 1.7137209608867168366070851973929 y1[1] (numeric) = 1.7137209608867168132972153937636 absolute error = 2.33098698036293e-17 relative error = 1.3601905056683359802232806515979e-15 % h = 0.001 y2[1] (analytic) = 1.7004301464035807871325628381541 y2[1] (numeric) = 1.7004301464035807639715154070797 absolute error = 2.31610474310744e-17 relative error = 1.3620699139014998102827392549265e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1174.9MB, alloc=4.6MB, time=100.75 NO POLE NO POLE x[1] = 0.777 y1[1] (analytic) = 1.7130201739966009027309257152522 y1[1] (numeric) = 1.713020173996600879409780833345 absolute error = 2.33211448819072e-17 relative error = 1.3614051507342887536419431484672e-15 % h = 0.001 y2[1] (analytic) = 1.7011435170304699992337920796493 y2[1] (numeric) = 1.7011435170304699760151499937759 absolute error = 2.32186420858734e-17 relative error = 1.3648843765048143049142181974821e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.778 y1[1] (analytic) = 1.7123186740863703905997159407019 y1[1] (numeric) = 1.7123186740863703672673878943871 absolute error = 2.33323280463148e-17 relative error = 1.3626159896179408978046804643039e-15 % h = 0.001 y2[1] (analytic) = 1.7018561865139006094894936723398 y2[1] (numeric) = 1.7018561865139005862132112547655 absolute error = 2.32762824175743e-17 relative error = 1.3676997270406068710409928839870e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1178.7MB, alloc=4.6MB, time=101.35 NO POLE NO POLE x[1] = 0.779 y1[1] (analytic) = 1.71161646185752515198564410102 y1[1] (numeric) = 1.7116164618575251286422248842123 absolute error = 2.33434192168077e-17 relative error = 1.3638230139171683642210315179226e-15 % h = 0.001 y2[1] (analytic) = 1.7025681541412031938581790001042 y2[1] (numeric) = 1.7025681541412031705242107001945 absolute error = 2.33339682999097e-17 relative error = 1.3705159610294512586478402427454e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.78 y1[1] (analytic) = 1.7109135380122773572162650237646 y1[1] (numeric) = 1.7109135380122773338618467102625 absolute error = 2.33544183135021e-17 relative error = 1.3650262152133669571479299591717e-15 % h = 0.001 y2[1] (analytic) = 1.7032794192004101843678973251179 y2[1] (numeric) = 1.7032794192004101609761977186203 absolute error = 2.33916996064976e-17 relative error = 1.3733330739990172249250466506772e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1182.5MB, alloc=4.6MB, time=101.94 NO POLE NO POLE x[1] = 0.781 y1[1] (analytic) = 1.710209903253550792962388326898 y1[1] (numeric) = 1.7102099032535507695970630702229 absolute error = 2.33653252566751e-17 relative error = 1.3662255850714147218568876838802e-15 % h = 0.001 y2[1] (analytic) = 1.7039899809802565810837444291757 y2[1] (numeric) = 1.7039899809802565576342682183336 absolute error = 2.34494762108421e-17 relative error = 1.3761510614840756665804186336994e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.782 y1[1] (analytic) = 1.7095055582849801593143503249576 y1[1] (numeric) = 1.7095055582849801359382103581929 absolute error = 2.33761399667647e-17 relative error = 1.3674211150396166847596780226505e-15 % h = 0.001 y2[1] (analytic) = 1.7046998387701806633728032765141 y2[1] (numeric) = 1.7046998387701806398655052901811 absolute error = 2.35072979863330e-17 relative error = 1.3789699190264392064739999308906e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1186.3MB, alloc=4.6MB, time=102.55 NO POLE NO POLE x[1] = 0.783 y1[1] (analytic) = 1.7088005038109103661473725749424 y1[1] (numeric) = 1.7088005038109103427605102105722 absolute error = 2.33868623643702e-17 relative error = 1.3686127966496728588303992419437e-15 % h = 0.001 y2[1] (analytic) = 1.705408991860324700465805433254 y2[1] (numeric) = 1.7054089918603246769006406270074 absolute error = 2.35651648062466e-17 relative error = 1.3817896421749732876769286575387e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.784 y1[1] (analytic) = 1.7080947405363958287767106964985 y1[1] (numeric) = 1.7080947405363958053792183262468 absolute error = 2.33974923702517e-17 relative error = 1.3698006214165934732732641142842e-15 % h = 0.001 y2[1] (analytic) = 1.70611743954153566131480268186 y2[1] (numeric) = 1.7061174395415356376917261381146 absolute error = 2.36230765437454e-17 relative error = 1.3846102264855427606568839963282e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1190.2MB, alloc=4.6MB, time=103.15 NO POLE NO POLE x[1] = 0.785 y1[1] (analytic) = 1.7073882691671997629032978111966 y1[1] (numeric) = 1.7073882691671997394952679058656 absolute error = 2.34080299053310e-17 relative error = 1.3709845808386959832975711397174e-15 % h = 0.001 y2[1] (analytic) = 1.7068251811053659237461389730047 y2[1] (numeric) = 1.7068251811053659000651059011261 absolute error = 2.36810330718786e-17 relative error = 1.3874316675210054688764304663522e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.786 y1[1] (analytic) = 1.706681090409793478850587655198 y1[1] (numeric) = 1.7066810904097934554321127645064 absolute error = 2.34184748906916e-17 relative error = 1.3721646663975493323132162918019e-15 % h = 0.001 y2[1] (analytic) = 1.707532215844073982908013561925 y2[1] (numeric) = 1.7075322158440739591689792983428 absolute error = 2.37390342635822e-17 relative error = 1.3902539608511824194255104550717e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.787 y1[1] (analytic) = 1.7059732049713556750933031284076 y1[1] (numeric) = 1.7059732049713556516644758808294 absolute error = 2.34288272475782e-17 relative error = 1.3733408695578887606709284583838e-15 % h = 0.001 y2[1] (analytic) = 1.7082385430506251590119268817658 y2[1] (numeric) = 1.7082385430506251352148468900867 absolute error = 2.37970799916791e-17 relative error = 1.3930771020528280225045251710342e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1194.0MB, alloc=4.6MB, time=103.75 NO POLE NO POLE x[1] = 0.788 y1[1] (analytic) = 1.7052646135597717310787967513083 y1[1] (numeric) = 1.7052646135597717076397098539104 absolute error = 2.34390868973979e-17 relative error = 1.3745131817676300873612914718218e-15 % h = 0.001 y2[1] (analytic) = 1.7089441620186923043673014125252 y2[1] (numeric) = 1.7089441620186922805121312836457 absolute error = 2.38551701288795e-17 relative error = 1.3959010867096179541649512481748e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.789 y1[1] (analytic) = 1.7045553168836329993417302080539 y1[1] (numeric) = 1.7045553168836329758924764463344 absolute error = 2.34492537617195e-17 relative error = 1.3756815944577725552381338504271e-15 % h = 0.001 y2[1] (analytic) = 1.7096490720426565097085705110381 y2[1] (numeric) = 1.7096490720426564857952659632572 absolute error = 2.39133045477809e-17 relative error = 1.3987259104121136472753728651473e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1197.8MB, alloc=4.6MB, time=104.38 NO POLE NO POLE x[1] = 0.79 y1[1] (analytic) = 1.703845315652236096912780861085 y1[1] (numeric) = 1.7038453156522360734534530988112 absolute error = 2.34593277622738e-17 relative error = 1.3768460990423601184189792075526e-15 % h = 0.001 y2[1] (analytic) = 1.7103532724176078098140288749692 y2[1] (numeric) = 1.7103532724176077858425457541007 absolute error = 2.39714831208685e-17 relative error = 1.4015515687577502520950885863106e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.791 y1[1] (analytic) = 1.7031346105755821960220838285014 y1[1] (numeric) = 1.7031346105755821725527750075473 absolute error = 2.34693088209541e-17 relative error = 1.3780066869184543698576825336923e-15 % h = 0.001 y2[1] (analytic) = 1.711056762439345888415739022023 y2[1] (numeric) = 1.7110567624393458643860333015079 absolute error = 2.40297057205151e-17 relative error = 1.4043780573507953996920910491118e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1201.6MB, alloc=4.6MB, time=104.99 NO POLE NO POLE x[1] = 0.792 y1[1] (analytic) = 1.7024232023643763140981189206891 y1[1] (numeric) = 1.7024232023643762906189220608731 absolute error = 2.34791968598160e-17 relative error = 1.3791633494660662773217648395785e-15 % h = 0.001 y2[1] (analytic) = 1.7117595414043807823997888745235 y2[1] (numeric) = 1.711759541404380758311816655542 absolute error = 2.40879722189815e-17 relative error = 1.4072053718023372715954296835832e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.793 y1[1] (analytic) = 1.7017110917300266030627524372568 y1[1] (numeric) = 1.701711091730026579573760636179 absolute error = 2.34889918010778e-17 relative error = 1.3803160780481230009152168692267e-15 % h = 0.001 y2[1] (analytic) = 1.7124616086099335852961962491652 y2[1] (numeric) = 1.7124616086099335611499137607482 absolute error = 2.41462824884170e-17 relative error = 1.4100335077302785331945960712090e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1205.4MB, alloc=4.6MB, time=105.60 NO POLE NO POLE x[1] = 0.794 y1[1] (analytic) = 1.7009982793846436379231445291801 y1[1] (numeric) = 1.7009982793846436144244509620597 absolute error = 2.34986935671204e-17 relative error = 1.3814648640104052268967848827652e-15 % h = 0.001 y2[1] (analytic) = 1.7131629633539371500577567620875 y2[1] (numeric) = 1.7131629633539371258531203612287 absolute error = 2.42046364008588e-17 relative error = 1.4128624607592660682656120267164e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.795 y1[1] (analytic) = 1.7002847660410397046612335341874 y1[1] (numeric) = 1.7002847660410396811529314536997 absolute error = 2.35083020804877e-17 relative error = 1.3826096986815137449183930335677e-15 % h = 0.001 y2[1] (analytic) = 1.713863604935036791127132370486 y2[1] (numeric) = 1.7138636049350367668640985422531 absolute error = 2.42630338282329e-17 relative error = 1.4156922265207084024700786000655e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1209.2MB, alloc=4.6MB, time=106.20 NO POLE NO POLE x[1] = 0.796 y1[1] (analytic) = 1.6995705524127280874215093958435 y1[1] (numeric) = 1.699570552412728063903692131957 absolute error = 2.35178172638865e-17 relative error = 1.3837505733728065161153866359777e-15 % h = 0.001 y2[1] (analytic) = 1.7145635326525909857914784837286 y2[1] (numeric) = 1.7145635326525909614700038413746 absolute error = 2.43214746423540e-17 relative error = 1.4185228006527347550947111289860e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.797 y1[1] (analytic) = 1.6988556392139223549977889784976 y1[1] (numeric) = 1.698855639213922331470549938311 absolute error = 2.35272390401866e-17 relative error = 1.3848874793783473493856013359630e-15 % h = 0.001 y2[1] (analytic) = 1.7152627458066720748239082894086 y2[1] (numeric) = 1.7152627458066720504439495744826 absolute error = 2.43799587149260e-17 relative error = 1.4213541788001891660788208186192e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.798 y1[1] (analytic) = 1.6981400271595356466197067912625 y1[1] (numeric) = 1.6981400271595356230831394588411 absolute error = 2.35365673324214e-17 relative error = 1.3860204079748838862895592577510e-15 % h = 0.001 y2[1] (analytic) = 1.7159612436980669624110936529281 y2[1] (numeric) = 1.7159612436980669379726077353865 absolute error = 2.44384859175416e-17 relative error = 1.4241863566145721836275430487997e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1213.0MB, alloc=4.6MB, time=106.79 NO POLE NO POLE x[1] = 0.799 y1[1] (analytic) = 1.6974237169651799570396353344726 y1[1] (numeric) = 1.6974237169651799334938332706851 absolute error = 2.35458020637875e-17 relative error = 1.3871493504217666118389271057256e-15 % h = 0.001 y2[1] (analytic) = 1.7166590256282778153663026630705 y2[1] (numeric) = 1.7166590256282777908692465413874 absolute error = 2.44970561216831e-17 relative error = 1.4270193297540525923700184835068e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.8 y1[1] (analytic) = 1.6967067093471654209207499816423 y1[1] (numeric) = 1.6967067093471653973658068239971 absolute error = 2.35549431576452e-17 relative error = 1.3882742979609206985194624392505e-15 % h = 0.001 y2[1] (analytic) = 1.7173560908995227616271746105814 y2[1] (numeric) = 1.7173560908995227370715054118591 absolute error = 2.45556691987223e-17 relative error = 1.4298530938834267017207946919046e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1216.9MB, alloc=4.6MB, time=107.39 NO POLE NO POLE x[1] = 0.801 y1[1] (analytic) = 1.6959890050224995965269540088002 y1[1] (numeric) = 1.6959890050224995729629634712816 absolute error = 2.35639905375186e-17 relative error = 1.3893952418167941882634153234181e-15 % h = 0.001 y2[1] (analytic) = 1.718052438814736588037533902042 y2[1] (numeric) = 1.7180524388147365634232088821213 absolute error = 2.46143250199207e-17 relative error = 1.4326876446740951900181157073539e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.802 y1[1] (analytic) = 1.6952706047088867487153800812132 y1[1] (numeric) = 1.6952706047088867251424359541177 absolute error = 2.35729441270955e-17 relative error = 1.3905121731962942398154870025086e-15 % h = 0.001 y2[1] (analytic) = 1.7187480686775714374125451272789 y2[1] (numeric) = 1.718748068677571412739521670849 absolute error = 2.46730234564299e-17 relative error = 1.4355229778040516363161210074269e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1220.7MB, alloc=4.6MB, time=108.00 NO POLE NO POLE x[1] = 0.803 y1[1] (analytic) = 1.6945515091247271312321852049411 y1[1] (numeric) = 1.6945515091247271076503813547132 absolute error = 2.35818038502279e-17 relative error = 1.3916250832887586160773601707616e-15 % h = 0.001 y2[1] (analytic) = 1.7194429797923975048865122152131 y2[1] (numeric) = 1.7194429797923974801547478359217 absolute error = 2.47317643792914e-17 relative error = 1.4383590889578361800266327688917e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.804 y1[1] (analytic) = 1.6938317189891162683123568473649 y1[1] (numeric) = 1.6938317189891162447217872164332 absolute error = 2.35905696309317e-17 relative error = 1.3927339632658798632217925133753e-15 % h = 0.001 y2[1] (analytic) = 1.7201371714643037335426253304078 y2[1] (numeric) = 1.7201371714643037087520776709705 absolute error = 2.47905476594373e-17 relative error = 1.4411959738265416093294439916667e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1224.5MB, alloc=4.6MB, time=108.60 NO POLE NO POLE x[1] = 0.805 y1[1] (analytic) = 1.6931112350218442355842486268248 y1[1] (numeric) = 1.6931112350218442119850072334374 absolute error = 2.35992413933874e-17 relative error = 1.3938388042816883539212964858647e-15 % h = 0.001 y2[1] (analytic) = 1.7208306429990985093239598806256 y2[1] (numeric) = 1.7208306429990984844745867129354 absolute error = 2.48493731676902e-17 relative error = 1.4440336281077729407051403503831e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.806 y1[1] (analytic) = 1.6923900579433949402795646667706 y1[1] (numeric) = 1.6923900579433949166717456048308 absolute error = 2.36078190619398e-17 relative error = 1.3949395974724761939137611854090e-15 % h = 0.001 y2[1] (analytic) = 1.7215233937033103552250327244533 y2[1] (numeric) = 1.72152339370331033031679194969 absolute error = 2.49082407747633e-17 relative error = 1.4468720475056187088964250180049e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1228.3MB, alloc=4.6MB, time=109.21 NO POLE NO POLE x[1] = 0.807 y1[1] (analytic) = 1.6916681884749454007495124043812 y1[1] (numeric) = 1.691668188474945377133209843283 absolute error = 2.36163025610982e-17 relative error = 1.3960363339567504853428330880046e-15 % h = 0.001 y2[1] (analytic) = 1.7222154228841886247632213874979 y2[1] (numeric) = 1.7222154228841885997960710362369 absolute error = 2.49671503512610e-17 relative error = 1.4497112277306513535848676904661e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.808 y1[1] (analytic) = 1.6909456273383650252878443374403 y1[1] (numeric) = 1.6909456273383650016631525219034 absolute error = 2.36246918155369e-17 relative error = 1.3971290048352042066865082794345e-15 % h = 0.001 y2[1] (analytic) = 1.7229067298497041947293528157898 y2[1] (numeric) = 1.7229067298497041697032510481112 absolute error = 2.50261017676786e-17 relative error = 1.4525511644998753629369856095840e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.809 y1[1] (analytic) = 1.6902223752562148902615098863654 y1[1] (numeric) = 1.6902223752562148666285231362707 absolute error = 2.36329867500947e-17 relative error = 1.3982176011906278490421899015656e-15 % h = 0.001 y2[1] (analytic) = 1.7235973139085501572167689158648 y2[1] (numeric) = 1.7235973139085501321316740214617 absolute error = 2.50850948944031e-17 relative error = 1.4553918535367393570874003431453e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1232.1MB, alloc=4.6MB, time=109.81 NO POLE NO POLE x[1] = 0.81 y1[1] (analytic) = 1.6894984329517470175496392406801 y1[1] (numeric) = 1.6894984329517469939084519509043 absolute error = 2.36411872897758e-17 relative error = 1.3993021140879036851724835695997e-15 % h = 0.001 y2[1] (analytic) = 1.7242871743701425109281768525145 y2[1] (numeric) = 1.7242871743701424857840472508019 absolute error = 2.51441296017126e-17 relative error = 1.4582332905710669447390829816740e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.811 y1[1] (analytic) = 1.688773801148903651291581750883 y1[1] (numeric) = 1.6887738011489036276422883911337 absolute error = 2.36492933597493e-17 relative error = 1.4003825345739171183393932935432e-15 % h = 0.001 y2[1] (analytic) = 1.7249763105446208517595927974149 y2[1] (numeric) = 1.7249763105446208265563870376376 absolute error = 2.52032057597773e-17 relative error = 1.4610754713390804957282349381078e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1235.9MB, alloc=4.6MB, time=110.42 NO POLE NO POLE x[1] = 0.812 y1[1] (analytic) = 1.6880484805723165339447221176171 y1[1] (numeric) = 1.6880484805723165102874172322675 absolute error = 2.36573048853496e-17 relative error = 1.4014588536775211138468829047430e-15 % h = 0.001 y2[1] (analytic) = 1.7256647217428490626606885447446 y2[1] (numeric) = 1.7256647217428490373983653060854 absolute error = 2.52623232386592e-17 relative error = 1.4639183915833495184494566738272e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.813 y1[1] (analytic) = 1.6873224719473061816527983202618 y1[1] (numeric) = 1.687322471947306157987576528185 absolute error = 2.36652217920768e-17 relative error = 1.4025310624095005338309238160577e-15 % h = 0.001 y2[1] (analytic) = 1.7263524072764160027708511335054 y2[1] (numeric) = 1.7263524072764159774493692251929 absolute error = 2.53214819083125e-17 relative error = 1.4667620470527797039400655608417e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1239.7MB, alloc=4.6MB, time=111.04 NO POLE NO POLE x[1] = 0.814 y1[1] (analytic) = 1.6865957759998811589254459165686 y1[1] (numeric) = 1.6865957759998811352524019109724 absolute error = 2.36730440055962e-17 relative error = 1.4035991517624830131386731597675e-15 % h = 0.001 y2[1] (analytic) = 1.7270393664576361958302663405423 y2[1] (numeric) = 1.7270393664576361704495847019585 absolute error = 2.53806816385838e-17 relative error = 1.4696064335025904107875380335610e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.815 y1[1] (analytic) = 1.6858683934567373526296940337378 y1[1] (numeric) = 1.6858683934567373289489225819988 absolute error = 2.36807714517390e-17 relative error = 1.4046631127109207797834480903482e-15 % h = 0.001 y2[1] (analytic) = 1.7277255985995505178653376332361 y2[1] (numeric) = 1.727725598599550492425415334024 absolute error = 2.54399222992121e-17 relative error = 1.4724515466942806230551818651893e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1243.6MB, alloc=4.6MB, time=111.65 NO POLE NO POLE x[1] = 0.816 y1[1] (analytic) = 1.685140325045257245294139059378 y1[1] (numeric) = 1.6851403250452572216057350028755 absolute error = 2.36884040565025e-17 relative error = 1.4057229362110427523359512770836e-15 % h = 0.001 y2[1] (analytic) = 1.7284111030159268841477528965088 y2[1] (numeric) = 1.7284111030159268586485491366794 absolute error = 2.54992037598294e-17 relative error = 1.4752973823956296984671138751790e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.817 y1[1] (analytic) = 1.684411571493509187726522728114 y1[1] (numeric) = 1.6844115714935091640305809820644 absolute error = 2.36959417460496e-17 relative error = 1.4067786132007649508649963942841e-15 % h = 0.001 y2[1] (analytic) = 1.72909587902126093542651197513 y2[1] (numeric) = 1.7290958790212609098679860851696 absolute error = 2.55585258899604e-17 relative error = 1.4781439363806460597188901512813e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1247.4MB, alloc=4.6MB, time=112.25 NO POLE NO POLE x[1] = 0.818 y1[1] (analytic) = 1.683682133530246670945441986206 y1[1] (numeric) = 1.6836821335302466472420575394965 absolute error = 2.37033844467095e-17 relative error = 1.4078301345996719428701394020816e-15 % h = 0.001 y2[1] (analytic) = 1.7297799259307767234322287993561 y2[1] (numeric) = 1.729779925930776697814340240333 absolute error = 2.56178885590231e-17 relative error = 1.4809912044295680326554238002918e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.819 y1[1] (analytic) = 1.6829520118849075974269187024083 y1[1] (numeric) = 1.6829520118849075737161866174305 absolute error = 2.37107320849778e-17 relative error = 1.4088774913089625846122366850103e-15 % h = 0.001 y2[1] (analytic) = 1.7304632430604273956530225896556 y2[1] (numeric) = 1.7304632430604273699757309533267 absolute error = 2.56772916363289e-17 relative error = 1.4838391823288357836815132598182e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.82 y1[1] (analytic) = 1.6822212072876135516665579784369 y1[1] (numeric) = 1.6822212072876135279485733909206 absolute error = 2.37179845875163e-17 relative error = 1.4099206742113777830420358247559e-15 % h = 0.001 y2[1] (analytic) = 1.7311458297268958793813133646877 y2[1] (numeric) = 1.7311458297268958536445783736049 absolute error = 2.57367349910828e-17 relative error = 1.4866878658710690954575388211342e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1251.2MB, alloc=4.6MB, time=112.85 NO POLE NO POLE x[1] = 0.821 y1[1] (analytic) = 1.6814897204691690700580244968283 y1[1] (numeric) = 1.6814897204691690463328826156746 absolute error = 2.37251418811537e-17 relative error = 1.4109596741711815887757752619827e-15 % h = 0.001 y2[1] (analytic) = 1.7318276852475955650308377057945 y2[1] (numeric) = 1.7318276852475955392346192134112 absolute error = 2.57962184923833e-17 relative error = 1.4895372508550278677061735102663e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.822 y1[1] (analytic) = 1.6807575521610609100885670276502 y1[1] (numeric) = 1.6807575521610608863563631347651 absolute error = 2.37322038928851e-17 relative error = 1.4119944820340708388401504236464e-15 % h = 0.001 y2[1] (analytic) = 1.7325088089406709887232014610491 y2[1] (numeric) = 1.7325088089406709628674594518259 absolute error = 2.58557420092232e-17 relative error = 1.4923873330856246543413611713453e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1255.0MB, alloc=4.6MB, time=113.45 NO POLE NO POLE x[1] = 0.823 y1[1] (analytic) = 1.6800247030954573188523218984808 y1[1] (numeric) = 1.6800247030954572951131513486085 absolute error = 2.37391705498723e-17 relative error = 1.4130250886271321770966777470076e-15 % h = 0.001 y2[1] (analytic) = 1.7331892001249985141432868023628 y2[1] (numeric) = 1.7331892001249984882279813918735 absolute error = 2.59153054104893e-17 relative error = 1.4952381083738736995146559555166e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.824 y1[1] (analytic) = 1.6792911740052073008821269142913 y1[1] (numeric) = 1.6792911740052072771360851348467 absolute error = 2.37460417794446e-17 relative error = 1.4140514847588287321374574664702e-15 % h = 0.001 y2[1] (analytic) = 1.7338688581201870136628317803018 y2[1] (numeric) = 1.7338688581201869876879232153391 absolute error = 2.59749085649627e-17 relative error = 1.4980895725368746937130609792584e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1258.8MB, alloc=4.6MB, time=114.08 NO POLE NO POLE x[1] = 0.825 y1[1] (analytic) = 1.6785569656238398853005778953559 y1[1] (numeric) = 1.6785569656238398615477603862579 absolute error = 2.37528175090980e-17 relative error = 1.4150736612188914360099408028546e-15 % h = 0.001 y2[1] (analytic) = 1.7345477822465785487315012530908 y2[1] (numeric) = 1.7345477822465785226969499117714 absolute error = 2.60345513413194e-17 relative error = 1.5009417213978138589019081737115e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.826 y1[1] (analytic) = 1.6778220786855633922910606820732 y1[1] (numeric) = 1.6778220786855633685315630155774 absolute error = 2.37594976664958e-17 relative error = 1.4160916087782934948904919262495e-15 % h = 0.001 y2[1] (analytic) = 1.7352259718252490495347687987877 y2[1] (numeric) = 1.735225971825249023440535190658 absolute error = 2.60942336081297e-17 relative error = 1.5037945507858958712348449653899e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1262.6MB, alloc=4.6MB, time=114.68 NO POLE NO POLE x[1] = 0.827 y1[1] (analytic) = 1.6770865139252646988894921356054 y1[1] (numeric) = 1.6770865139252646751234099561365 absolute error = 2.37660821794689e-17 relative error = 1.4171053181892069001874833721143e-15 % h = 0.001 y2[1] (analytic) = 1.735903426178008993917929952807 y2[1] (numeric) = 1.7359034261780089677639747189476 absolute error = 2.61539552338594e-17 relative error = 1.5066480565363796311025626229558e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.828 y1[1] (analytic) = 1.6763502720785085040975043425319 y1[1] (numeric) = 1.6763502720785084803249333665164 absolute error = 2.37725709760155e-17 relative error = 1.4181147801849230290035234953337e-15 % h = 0.001 y2[1] (analytic) = 1.7365801446274040855755678468317 y2[1] (numeric) = 1.7365801446274040593618517599628 absolute error = 2.62137160868689e-17 relative error = 1.5095022344904930174620353348270e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1266.4MB, alloc=4.6MB, time=115.28 NO POLE NO POLE x[1] = 0.829 y1[1] (analytic) = 1.6756133538815365933178069102739 y1[1] (numeric) = 1.6756133538815365695388429259723 absolute error = 2.37789639843016e-17 relative error = 1.4191199854798207749129241905363e-15 % h = 0.001 y2[1] (analytic) = 1.7372561264967159315057930597084 y2[1] (numeric) = 1.7372561264967159052322770242937 absolute error = 2.62735160354147e-17 relative error = 1.5123570804954859856929944837642e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.83 y1[1] (analytic) = 1.6748757600712671021124629178644 y1[1] (numeric) = 1.6748757600712670783272017852036 absolute error = 2.37852611326608e-17 relative error = 1.4201209247692927964056399866285e-15 % h = 0.001 y2[1] (analytic) = 1.7379313711099627187285802261381 y2[1] (numeric) = 1.7379313711099626923952252784898 absolute error = 2.63333549476483e-17 relative error = 1.5152125904045339337552833651892e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.831 y1[1] (analytic) = 1.6741374913852937792848147637283 y1[1] (numeric) = 1.6741374913852937554933524141332 absolute error = 2.37914623495951e-17 relative error = 1.4211175887297312986524586157920e-15 % h = 0.001 y2[1] (analytic) = 1.7386058777918998902675246848866 y2[1] (numeric) = 1.7386058777918998638742919932693 absolute error = 2.63932326916173e-17 relative error = 1.5180687600767678271667606352140e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1270.3MB, alloc=4.6MB, time=115.89 NO POLE NO POLE x[1] = 0.832 y1[1] (analytic) = 1.6733985485618852492857968284831 y1[1] (numeric) = 1.673398548561885225488229264709 absolute error = 2.37975675637741e-17 relative error = 1.4221099680184181599446174235592e-15 % h = 0.001 y2[1] (analytic) = 1.7392796458680208203943431848106 y2[1] (numeric) = 1.7392796458680207939411940495455 absolute error = 2.64531491352651e-17 relative error = 1.5209255853772237561154897473060e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.833 y1[1] (analytic) = 1.6726589323399842739453725463881 y1[1] (numeric) = 1.6726589323399842501417958423523 absolute error = 2.38035767040358e-17 relative error = 1.4230980532735104191610130711337e-15 % h = 0.001 y2[1] (analytic) = 1.739952674664557489135443404258 y2[1] (numeric) = 1.7399526746645574626223392578264 absolute error = 2.65131041464316e-17 relative error = 1.5237830621768500780571433363624e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1274.1MB, alloc=4.6MB, time=116.49 NO POLE NO POLE x[1] = 0.834 y1[1] (analytic) = 1.6719186434592070135298341539424 y1[1] (numeric) = 1.671918643459206989720344454556 absolute error = 2.38094896993864e-17 relative error = 1.4240818351139659093299733041738e-15 % h = 0.001 y2[1] (analytic) = 1.7406249635084811560398877773265 y2[1] (numeric) = 1.7406249635084811294667901844736 absolute error = 2.65730975928529e-17 relative error = 1.5266411863524570885436605521544e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.835 y1[1] (analytic) = 1.6711776826598422871257040582708 y1[1] (numeric) = 1.6711776826598422633103975792698 absolute error = 2.38153064790010e-17 relative error = 1.4250613041395225440679615826865e-15 % h = 0.001 y2[1] (analytic) = 1.741296511727503033208077859075 y2[1] (numeric) = 1.7412965117275030065749485169133 absolute error = 2.66331293421617e-17 relative error = 1.5294999537867070040482931534647e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1277.9MB, alloc=4.6MB, time=117.09 NO POLE NO POLE x[1] = 0.836 y1[1] (analytic) = 1.6704360506828508323509774413339 y1[1] (numeric) = 1.6704360506828508085299504691109 absolute error = 2.38210269722230e-17 relative error = 1.4260364509305997212639215857916e-15 % h = 0.001 y2[1] (analytic) = 1.7419673186500749575804862010582 y2[1] (numeric) = 1.7419673186500749308872869391705 absolute error = 2.66931992618877e-17 relative error = 1.5323593603681039633664607294814e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.837 y1[1] (analytic) = 1.6696937482698645643944463886591 y1[1] (numeric) = 1.6696937482698645405677952800947 absolute error = 2.38266511085644e-17 relative error = 1.4270072660482533625442899129023e-15 % h = 0.001 y2[1] (analytic) = 1.7426373836053900624857634485088 y2[1] (numeric) = 1.7426373836053900357324562290515 absolute error = 2.67533072194573e-17 relative error = 1.5352194019909438785976887831796e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1281.7MB, alloc=4.6MB, time=117.70 NO POLE NO POLE x[1] = 0.838 y1[1] (analytic) = 1.6689507761631858343838465032063 y1[1] (numeric) = 1.6689507761631858105516676854998 absolute error = 2.38321788177065e-17 relative error = 1.4279737400341547962792070593109e-15 % h = 0.001 y2[1] (analytic) = 1.743306705923383448447549111117 y2[1] (numeric) = 1.7433067059233834216340960289224 absolute error = 2.68134530821946e-17 relative error = 1.5380800745553389681757850329401e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.839 y1[1] (analytic) = 1.6682071351057866870835676361593 y1[1] (numeric) = 1.6682071351057866632459576066599 absolute error = 2.38376100294994e-17 relative error = 1.4289358634104976471970947064396e-15 % h = 0.001 y2[1] (analytic) = 1.7439752849347328532493152006504 y2[1] (numeric) = 1.7439752849347328263756784833298 absolute error = 2.68736367173206e-17 relative error = 1.5409413739671390164161157407186e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1285.5MB, alloc=4.6MB, time=118.30 NO POLE NO POLE x[1] = 0.84 y1[1] (analytic) = 1.6674628258413081179226710368709 y1[1] (numeric) = 1.6674628258413080940797263629085 absolute error = 2.38429446739624e-17 relative error = 1.4298936266799584477142761857803e-15 % h = 0.001 y2[1] (analytic) = 1.7446431199708593212565726706296 y2[1] (numeric) = 1.7446431199708592943227146786752 absolute error = 2.69338579919544e-17 relative error = 1.5438032961379674462567454565991e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.841 y1[1] (analytic) = 1.6667178491140593293539558938825 y1[1] (numeric) = 1.6667178491140593055057732125986 absolute error = 2.38481826812839e-17 relative error = 1.4308470203256271412579999739809e-15 % h = 0.001 y2[1] (analytic) = 1.7453102103639278719957713359055 y2[1] (numeric) = 1.7453102103639278450016545627927 absolute error = 2.69941167731128e-17 relative error = 1.5466658369851656303880959401804e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.842 y1[1] (analytic) = 1.6659722056690169865448189078902 y1[1] (numeric) = 1.665972205669016962691494926068 absolute error = 2.38533239818222e-17 relative error = 1.4317960348109914183375765801715e-15 % h = 0.001 y2[1] (analytic) = 1.7459765554468481679892246932965 y2[1] (numeric) = 1.7459765554468481409348117655859 absolute error = 2.70544129277106e-17 relative error = 1.5495289924317774178162839340099e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1289.3MB, alloc=4.6MB, time=118.89 NO POLE NO POLE x[1] = 0.843 y1[1] (analytic) = 1.665225896251824472400651205734 y1[1] (numeric) = 1.6652258962518244485422826996293 absolute error = 2.38583685061047e-17 relative error = 1.4327406605798249242831406829290e-15 % h = 0.001 y2[1] (analytic) = 1.7466421545532751818453918084153 y2[1] (numeric) = 1.7466421545532751547306454858546 absolute error = 2.71147463225607e-17 relative error = 1.5523927584065222407870284426033e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.844 y1[1] (analytic) = 1.6644789216087911419215175719538 y1[1] (numeric) = 1.664478921608791118058201387125 absolute error = 2.38633161848288e-17 relative error = 1.4336808880561772971886283324270e-15 % h = 0.001 y2[1] (analytic) = 1.7473070070176098626038491784596 y2[1] (numeric) = 1.7473070070176098354287323540848 absolute error = 2.71751168243748e-17 relative error = 1.5552571308438026172307245555514e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1293.2MB, alloc=4.6MB, time=119.49 NO POLE NO POLE x[1] = 0.845 y1[1] (analytic) = 1.6637312824868915758928636411686 y1[1] (numeric) = 1.663731282486891552024696692307 absolute error = 2.38681669488616e-17 relative error = 1.4346167076442920488483301880403e-15 % h = 0.001 y2[1] (analytic) = 1.7479711121749998013342862260498 y2[1] (numeric) = 1.7479711121749997740987619262867 absolute error = 2.72355242997631e-17 relative error = 1.5581221056836544224598150845659e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.846 y1[1] (analytic) = 1.6629829796337648339109973605104 y1[1] (numeric) = 1.6629829796337648100380766312703 absolute error = 2.38729207292401e-17 relative error = 1.4355481097285542876663661737318e-15 % h = 0.001 y2[1] (analytic) = 1.7486344693613398959888588251738 y2[1] (numeric) = 1.7486344693613398686928902099392 absolute error = 2.72959686152346e-17 relative error = 1.5609876788717315822719255509276e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1297.0MB, alloc=4.6MB, time=120.10 NO POLE NO POLE x[1] = 0.847 y1[1] (analytic) = 1.6622340137977137067440916965694 y1[1] (numeric) = 1.6622340137977136828665142393978 absolute error = 2.38775774571716e-17 relative error = 1.4364750846734503293788688434869e-15 % h = 0.001 y2[1] (analytic) = 1.7492970779132730155072360069414 y2[1] (numeric) = 1.7492970779132729881507863697439 absolute error = 2.73564496371975e-17 relative error = 1.5638538463592965129746544016259e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.848 y1[1] (analytic) = 1.6614843857277039680294562257845 y1[1] (numeric) = 1.6614843857277039441473191617511 absolute error = 2.38821370640334e-17 relative error = 1.4373976228234850646732032007202e-15 % h = 0.001 y2[1] (analytic) = 1.7499589371681906631736757401562 y2[1] (numeric) = 1.7499589371681906357567085081968 absolute error = 2.74169672319594e-17 relative error = 1.5667206041031991498598352848256e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1300.8MB, alloc=4.6MB, time=120.71 NO POLE NO POLE x[1] = 0.849 y1[1] (analytic) = 1.6607340961733636253078259109465 y1[1] (numeric) = 1.6607340961733636014212264295732 absolute error = 2.38865994813733e-17 relative error = 1.4383157145031472716849178666024e-15 % h = 0.001 y2[1] (analytic) = 1.7506200464642336392254664296844 y2[1] (numeric) = 1.7506200464642336117479451639573 absolute error = 2.74775212657271e-17 relative error = 1.5695879480658331698236282307942e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.85 y1[1] (analytic) = 1.6599831458849821703954160294615 y1[1] (numeric) = 1.6599831458849821465044513885518 absolute error = 2.38909646409097e-17 relative error = 1.4392293500168507350267725428512e-15 % h = 0.001 y2[1] (analytic) = 1.7512804051402927027120715242355 y2[1] (numeric) = 1.7512804051402926751739599196281 absolute error = 2.75381116046074e-17 relative error = 1.5724558742151494097890528894609e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1304.6MB, alloc=4.6MB, time=121.31 NO POLE NO POLE x[1] = 0.851 y1[1] (analytic) = 1.6592315356135098290944928812576 y1[1] (numeric) = 1.6592315356135098051992604067264 absolute error = 2.38952324745312e-17 relative error = 1.4401385196488450678692296456579e-15 % h = 0.001 y2[1] (analytic) = 1.7519400125360092326043153744632 y2[1] (numeric) = 1.7519400125360092050055772598564 absolute error = 2.75987381146068e-17 relative error = 1.5753243785246064628177209843037e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.852 y1[1] (analytic) = 1.6584792661105568102432105657027 y1[1] (numeric) = 1.6584792661105567863438076514048 absolute error = 2.38994029142979e-17 relative error = 1.4410432136632287924392827924631e-15 % h = 0.001 y2[1] (analytic) = 1.7525988679917758881529492322585 y2[1] (numeric) = 1.7525988679917758604935485706265 absolute error = 2.76594006616320e-17 relative error = 1.5781934569731670279193807108136e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.853 y1[1] (analytic) = 1.6577263381283925541054647776315 y1[1] (numeric) = 1.6577263381283925302019888851915 absolute error = 2.39034758924400e-17 relative error = 1.4419434223037995799369632538452e-15 % h = 0.001 y2[1] (analytic) = 1.7532569708487372684959370327215 y2[1] (numeric) = 1.7532569708487372407758379212315 absolute error = 2.77200991114900e-17 relative error = 1.5810631055452714489877675575179e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1308.4MB, alloc=4.6MB, time=121.92 NO POLE NO POLE x[1] = 0.854 y1[1] (analytic) = 1.6569727524199449801015152325684 y1[1] (numeric) = 1.6569727524199449561940638912092 absolute error = 2.39074513413592e-17 relative error = 1.4428391357940730626023417874394e-15 % h = 0.001 y2[1] (analytic) = 1.7539143204487905715138013515826 y2[1] (numeric) = 1.7539143204487905437329680216942 absolute error = 2.77808333298884e-17 relative error = 1.5839333202308227120090199973545e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.855 y1[1] (analytic) = 1.6562185097387997338801289904588 y1[1] (numeric) = 1.6562185097387997099687997968304 absolute error = 2.39113291936284e-17 relative error = 1.4437303443371990511965775577212e-15 % h = 0.001 y2[1] (analytic) = 1.7545709161345862519323706827818 y2[1] (numeric) = 1.7545709161345862240907675003462 absolute error = 2.78416031824356e-17 relative error = 1.5868040970251657722282985036542e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1312.2MB, alloc=4.6MB, time=122.54 NO POLE NO POLE x[1] = 0.856 y1[1] (analytic) = 1.6554636108391994337329976057035 y1[1] (numeric) = 1.6554636108391994098178882237121 absolute error = 2.39151093819914e-17 relative error = 1.4446170381158775212534664931531e-15 % h = 0.001 y2[1] (analytic) = 1.7552267572495286786722699335127 y2[1] (numeric) = 1.755226757249528650769861398872 absolute error = 2.79024085346407e-17 relative error = 1.5896754319290498315671325017314e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.857 y1[1] (analytic) = 1.6547080564760429163521816890169 y1[1] (numeric) = 1.6547080564760428924333898496532 absolute error = 2.39187918393637e-17 relative error = 1.4454992072923408440671707516166e-15 % h = 0.001 y2[1] (analytic) = 1.7558818431377767914444967872976 y2[1] (numeric) = 1.7558818431377767634812475353834 absolute error = 2.79632492519142e-17 relative error = 1.5925473209486362573521797348267e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1316.0MB, alloc=4.6MB, time=123.14 NO POLE NO POLE x[1] = 0.858 y1[1] (analytic) = 1.6539518474048844819313371236005 y1[1] (numeric) = 1.6539518474048844580089606247682 absolute error = 2.39223764988323e-17 relative error = 1.4463768420082755055238291508511e-15 % h = 0.001 y2[1] (analytic) = 1.7565361731442447565914273395692 y2[1] (numeric) = 1.7565361731442447285673021400014 absolute error = 2.80241251995678e-17 relative error = 1.5954197600954552417542941529476e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.859 y1[1] (analytic) = 1.6531949843819331386114778343436 y1[1] (numeric) = 1.6531949843819331146856145406876 absolute error = 2.39258632936560e-17 relative error = 1.4472499323847738525252108100251e-15 % h = 0.001 y2[1] (analytic) = 1.757189746614602622172595164811 y2[1] (numeric) = 1.757189746614602594087558921996 absolute error = 2.80850362428150e-17 relative error = 1.5982927453864080809893808647662e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1319.9MB, alloc=4.6MB, time=123.76 NO POLE NO POLE x[1] = 0.86 y1[1] (analytic) = 1.6524374681640518462720306642239 y1[1] (numeric) = 1.6524374681640518223427785069589 absolute error = 2.39292521572650e-17 relative error = 1.4481184685222433431401111625179e-15 % h = 0.001 y2[1] (analytic) = 1.7578425628952769722945887295286 y2[1] (numeric) = 1.7578425628952769441486064827578 absolute error = 2.81459822467708e-17 relative error = 1.6011662728437182459735347797561e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.861 y1[1] (analytic) = 1.6516792995087567596679385667926 y1[1] (numeric) = 1.6516792995087567357353955435307 absolute error = 2.39325430232619e-17 relative error = 1.4489824405004003072846375529029e-15 % h = 0.001 y2[1] (analytic) = 1.7584946213334515806844128212126 y2[1] (numeric) = 1.75849462133345155247744974476 absolute error = 2.82069630764526e-17 relative error = 1.6040403384949507978320384416078e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1323.7MB, alloc=4.6MB, time=124.36 NO POLE NO POLE x[1] = 0.862 y1[1] (analytic) = 1.6509204791742164709135689775753 y1[1] (numeric) = 1.6509204791742164469778331521542 absolute error = 2.39357358254211e-17 relative error = 1.4498418383781667727043288641979e-15 % h = 0.001 y2[1] (analytic) = 1.7591459212770680635056604199826 y2[1] (numeric) = 1.7591459212770680352376818232033 absolute error = 2.82679785967793e-17 relative error = 1.6069149383729294335251991796555e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.863 y1[1] (analytic) = 1.6501610079192512513141848804184 y1[1] (numeric) = 1.6501610079192512273753543827291 absolute error = 2.39388304976893e-17 relative error = 1.4506966521936336647383302308638e-15 % h = 0.001 y2[1] (analytic) = 1.7597964620748265314168421967984 y2[1] (numeric) = 1.7597964620748265030878135242253 absolute error = 2.83290286725731e-17 relative error = 1.6097900685158071381914628514804e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.864 y1[1] (analytic) = 1.6494008865033322925457367372467 y1[1] (numeric) = 1.6494008865033322686039097630612 absolute error = 2.39418269741855e-17 relative error = 1.4515468719639935886373533278747e-15 % h = 0.001 y2[1] (analytic) = 1.7604462430761862408712215799592 y2[1] (numeric) = 1.7604462430761862124811084114012 absolute error = 2.83901131685580e-17 relative error = 1.6126657249669492240399554384449e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1327.5MB, alloc=4.6MB, time=124.96 NO POLE NO POLE x[1] = 0.865 y1[1] (analytic) = 1.6486401156865809471837341013768 y1[1] (numeric) = 1.6486401156865809232390089121757 absolute error = 2.39447251892011e-17 relative error = 1.4523924876854794899385082747896e-15 % h = 0.001 y2[1] (analytic) = 1.7610952636313662446575040901144 y2[1] (numeric) = 1.7610952636313662162062721407529 absolute error = 2.84512319493615e-17 relative error = 1.6155419037749983290521998720502e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.866 y1[1] (analytic) = 1.6478786962297679685819563854515 y1[1] (numeric) = 1.6478786962297679446344313082513 absolute error = 2.39475250772002e-17 relative error = 1.4532334893333152801925755126683e-15 % h = 0.001 y2[1] (analytic) = 1.7617435230913460416807304031469 y2[1] (numeric) = 1.7617435230913460131683455236332 absolute error = 2.85123848795137e-17 relative error = 1.6184186009937916865647825158138e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1331.3MB, alloc=4.6MB, time=125.56 NO POLE NO POLE x[1] = 0.867 y1[1] (analytic) = 1.6471166288943127501017629052209 y1[1] (numeric) = 1.6471166288943127261515363324014 absolute error = 2.39502265728195e-17 relative error = 1.4540698668616420394287104872557e-15 % h = 0.001 y2[1] (analytic) = 1.7623910208078662259827233600927 y2[1] (numeric) = 1.7623910208078661974091515366447 absolute error = 2.85735718234480e-17 relative error = 1.6212958126823693589897557882211e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.868 y1[1] (analytic) = 1.6463539144422825636927629697972 y1[1] (numeric) = 1.6463539144422825397399333589288 absolute error = 2.39528296108684e-17 relative error = 1.4549016102034561603493029371176e-15 % h = 0.001 y2[1] (analytic) = 1.763037756133429135001439903703 y2[1] (numeric) = 1.7630377561334291063666472582014 absolute error = 2.86347926455016e-17 relative error = 1.6241735349049711049667382986987e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1335.1MB, alloc=4.6MB, time=126.17 NO POLE NO POLE x[1] = 0.869 y1[1] (analytic) = 1.6455905536363917978256074376496 y1[1] (numeric) = 1.6455905536363917738702733113198 absolute error = 2.39553341263298e-17 relative error = 1.4557287092705898570875779158804e-15 % h = 0.001 y2[1] (analytic) = 1.7636837284212994970685796823498 y2[1] (numeric) = 1.7636837284212994683725324724349 absolute error = 2.86960472099149e-17 relative error = 1.6270517637309708797379098073311e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.87 y1[1] (analytic) = 1.6448265472400011947776638054828 y1[1] (numeric) = 1.6448265472400011708199237511238 absolute error = 2.39577400543590e-17 relative error = 1.4565511539535761048221680975878e-15 % h = 0.001 y2[1] (analytic) = 1.7643289370255050781448028237228 y2[1] (numeric) = 1.7643289370255050493874674428903 absolute error = 2.87573353808325e-17 relative error = 1.6299304952349021611883457159863e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1338.9MB, alloc=4.6MB, time=126.77 NO POLE NO POLE x[1] = 0.871 y1[1] (analytic) = 1.6440618960171170872723375442638 y1[1] (numeric) = 1.6440618960171170633122902139787 absolute error = 2.39600473302851e-17 relative error = 1.4573689341216652640957782470767e-15 % h = 0.001 y2[1] (analytic) = 1.7649733813008373277919101431513 y2[1] (numeric) = 1.7649733813008372989732531208483 absolute error = 2.88186570223030e-17 relative error = 1.6328097254964152263263035080149e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.872 y1[1] (analytic) = 1.6432966007323906344728030430074 y1[1] (numeric) = 1.6432966007323906105105471533974 absolute error = 2.39622558896100e-17 relative error = 1.4581820396226957025432218797464e-15 % h = 0.001 y2[1] (analytic) = 1.7656170606028520243813398144258 y2[1] (numeric) = 1.7656170606028519955013278161464 absolute error = 2.88800119982794e-17 relative error = 1.6356894506002684995841774481563e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1342.7MB, alloc=4.6MB, time=127.38 NO POLE NO POLE x[1] = 0.873 y1[1] (analytic) = 1.6425306621511170573309081665308 y1[1] (numeric) = 1.6425306621511170333665424985211 absolute error = 2.39643656680097e-17 relative error = 1.4589904602831040818452313714730e-15 % h = 0.001 y2[1] (analytic) = 1.7662599742878699195383352946765 y2[1] (numeric) = 1.7662599742878698905969351220576 absolute error = 2.89414001726189e-17 relative error = 1.6385696666362859456993251651493e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.874 y1[1] (analytic) = 1.6417640810392348732920170782044 y1[1] (numeric) = 1.6417640810392348493256404768712 absolute error = 2.39663766013332e-17 relative error = 1.4597941859077894883506619102147e-15 % h = 0.001 y2[1] (analytic) = 1.7669021217129773818211400591947 y2[1] (numeric) = 1.7669021217129773528183186501109 absolute error = 2.90028214090838e-17 relative error = 1.6414503696993768072014193438898e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.875 y1[1] (analytic) = 1.640996858163325130356556622796 y1[1] (numeric) = 1.6409968581633251063882679971924 absolute error = 2.39682886256036e-17 relative error = 1.4605932062801112469810712052334e-15 % h = 0.001 y2[1] (analytic) = 1.7675435022360270396345754670545 y2[1] (numeric) = 1.7675435022360270105702998957135 absolute error = 2.90642755713410e-17 relative error = 1.6443315558894760886545305986266e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1346.6MB, alloc=4.6MB, time=127.97 NO POLE NO POLE x[1] = 0.876 y1[1] (analytic) = 1.6402289942906106404990322077955 y1[1] (numeric) = 1.6402289942906106165289305307776 absolute error = 2.39701016770179e-17 relative error = 1.4613875111618074709902247656274e-15 % h = 0.001 y2[1] (analytic) = 1.768184115215638423377358844013 y2[1] (numeric) = 1.7681841152156383942515963210501 absolute error = 2.91257625229629e-17 relative error = 1.6472132213115643435073127530421e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.877 y1[1] (analytic) = 1.6394604901889552124452797641414 y1[1] (numeric) = 1.6394604901889551884734640721948 absolute error = 2.39718156919466e-17 relative error = 1.4621770902929011831636661429649e-15 % h = 0.001 y2[1] (analytic) = 1.7688239600111986068225196354215 y2[1] (numeric) = 1.7688239600111985776352375079946 absolute error = 2.91872821274269e-17 relative error = 1.6500953620756082650646885658447e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1350.4MB, alloc=4.6MB, time=128.59 NO POLE NO POLE x[1] = 0.878 y1[1] (analytic) = 1.6386913466268628838087210090344 y1[1] (numeric) = 1.6386913466268628598352904020994 absolute error = 2.39734306069350e-17 relative error = 1.4629619333917099135835008579583e-15 % h = 0.001 y2[1] (analytic) = 1.769463035982862847730272248788 y2[1] (numeric) = 1.7694630359828628184814380006717 absolute error = 2.92488342481163e-17 relative error = 1.6529779742965805222076572529765e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.879 y1[1] (analytic) = 1.6379215643734771525863898745154 y1[1] (numeric) = 1.6379215643734771286114435158135 absolute error = 2.39749463587019e-17 relative error = 1.4637420301546965862260314524847e-15 % h = 0.001 y2[1] (analytic) = 1.7701013424915552276927049731688 y2[1] (numeric) = 1.770101342491555198382286224849 absolute error = 2.93104187483198e-17 relative error = 1.6558610540944004563819739294828e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1354.2MB, alloc=4.6MB, time=129.20 NO POLE NO POLE x[1] = 0.88 y1[1] (analytic) = 1.6371511441985802080154986057221 y1[1] (numeric) = 1.6371511441985801840391357215811 absolute error = 2.39763628841410e-17 relative error = 1.4645173702564849052032035454395e-15 % h = 0.001 y2[1] (analytic) = 1.770738878898969291209645130756 y2[1] (numeric) = 1.7707388788989692618376096395235 absolute error = 2.93720354912325e-17 relative error = 1.6587445975939596130577136922802e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.881 y1[1] (analytic) = 1.6363800868725921607913126721897 y1[1] (numeric) = 1.6363800868725921368136325518694 absolute error = 2.39776801203203e-17 relative error = 1.4652879433497525631285278654355e-15 % h = 0.001 y2[1] (analytic) = 1.771375644567568683995061384847 y2[1] (numeric) = 1.7713756445675686545613770448915 absolute error = 2.94336843399555e-17 relative error = 1.6616286009250681792056998696687e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1358.0MB, alloc=4.6MB, time=129.80 NO POLE NO POLE x[1] = 0.882 y1[1] (analytic) = 1.6356083931665702726471042742594 y1[1] (numeric) = 1.6356083931665702486682062697771 absolute error = 2.39788980044823e-17 relative error = 1.4660537390651730587986824160456e-15 % h = 0.001 y2[1] (analytic) = 1.772011638860587790513364897848 y2[1] (numeric) = 1.7720116388605877610179997403518 absolute error = 2.94953651574962e-17 relative error = 1.6645130602224410352447865717379e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.883 y1[1] (analytic) = 1.6348360638522081852969548645758 y1[1] (numeric) = 1.6348360638522081613169383905315 absolute error = 2.39800164740443e-17 relative error = 1.4668147470113634667738755350963e-15 % h = 0.001 y2[1] (analytic) = 1.7726468611420323707449718030637 y2[1] (numeric) = 1.7726468611420323411878939962948 absolute error = 2.95570778067689e-17 relative error = 1.6673979716257007566013141154810e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1361.8MB, alloc=4.6MB, time=130.41 NO POLE NO POLE x[1] = 0.884 y1[1] (analytic) = 1.6340630997018351487421777418069 y1[1] (numeric) = 1.6340630997018351247611422752084 absolute error = 2.39810354665985e-17 relative error = 1.4675709567748198194041980693027e-15 % h = 0.001 y2[1] (analytic) = 1.7732813107766801961804902247626 y2[1] (numeric) = 1.773281310776680166561668074168 absolute error = 2.96188221505946e-17 relative error = 1.6702833312793354905347550110827e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.885 y1[1] (analytic) = 1.6332895014884152489421324100994 y1[1] (numeric) = 1.6332895014884152249601774901873 absolute error = 2.39819549199121e-17 relative error = 1.4683223579198523054911111500620e-15 % h = 0.001 y2[1] (analytic) = 1.7739149871300816850428958523849 y2[1] (numeric) = 1.7739149871300816553622978006836 absolute error = 2.96805980517013e-17 relative error = 1.6731691353326851054526657932025e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.886 y1[1] (analytic) = 1.6325152699855466348502030333909 y1[1] (numeric) = 1.6325152699855466108674282614635 absolute error = 2.39827747719274e-17 relative error = 1.4690689399885202849097266027029e-15 % h = 0.001 y2[1] (analytic) = 1.7745478895685605367370608467703 y2[1] (numeric) = 1.774547889568560506994655474046 absolute error = 2.97424053727243e-17 relative error = 1.6760553799399273656797415691471e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1365.6MB, alloc=4.6MB, time=131.00 NO POLE NO POLE x[1] = 0.887 y1[1] (analytic) = 1.6317404059674607448157139485358 y1[1] (numeric) = 1.6317404059674607208322189877742 absolute error = 2.39834949607616e-17 relative error = 1.4698106925005487332375757518574e-15 % h = 0.001 y2[1] (analytic) = 1.7751800174592143655260016289292 y2[1] (numeric) = 1.7751800174592143357217576527228 absolute error = 2.98042439762064e-17 relative error = 1.6789420612600584983846992446743e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.888 y1[1] (analytic) = 1.6309649102090215323525558352659 y1[1] (numeric) = 1.6309649102090215083684404105582 absolute error = 2.39841154247077e-17 relative error = 1.4705476049533118932738275898477e-15 % h = 0.001 y2[1] (analytic) = 1.7758113701699153334332118751625 y2[1] (numeric) = 1.7758113701699153035670981505643 absolute error = 2.98661137245982e-17 relative error = 1.6818291754568794290772789307373e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1369.4MB, alloc=4.6MB, time=131.61 NO POLE NO POLE x[1] = 0.889 y1[1] (analytic) = 1.630188783485724691275296774293 y1[1] (numeric) = 1.6301887834857246672906606720591 absolute error = 2.39846361022339e-17 relative error = 1.4712796668217248664833907097135e-15 % h = 0.001 y2[1] (analytic) = 1.7764419470693107823704478162497 y2[1] (numeric) = 1.7764419470693107524424333359917 absolute error = 2.99280144802580e-17 relative error = 1.6847167186989595253879700597205e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.89 y1[1] (analytic) = 1.6294120265736968802035530573802 y1[1] (numeric) = 1.6294120265736968562184961253962 absolute error = 2.39850569319840e-17 relative error = 1.4720068675581962670770530355556e-15 % h = 0.001 y2[1] (analytic) = 1.7770717475268238654903337129732 y2[1] (numeric) = 1.7770717475268238355003876075208 absolute error = 2.99899461054524e-17 relative error = 1.6876046871596398045097912492412e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1373.3MB, alloc=4.6MB, time=132.21 NO POLE NO POLE x[1] = 0.891 y1[1] (analytic) = 1.6286346402496949464353952449452 y1[1] (numeric) = 1.6286346402496949224500173921675 absolute error = 2.39853778527777e-17 relative error = 1.4727291965925746011045021194489e-15 % h = 0.001 y2[1] (analytic) = 1.7777007709126541777631561554249 y2[1] (numeric) = 1.7777007709126541477112476930688 absolute error = 3.00519084623561e-17 relative error = 1.6904930770169911276917262908715e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.892 y1[1] (analytic) = 1.6278566252911051491905655977243 y1[1] (numeric) = 1.627856625291105125204966794114 absolute error = 2.39855988036103e-17 relative error = 1.4734466433320576344175785539804e-15 % h = 0.001 y2[1] (analytic) = 1.7783290165977783857772166093547 y2[1] (numeric) = 1.7783290165977783556633151963021 absolute error = 3.01139014130526e-17 relative error = 1.6933818844538230886105119371436e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1377.1MB, alloc=4.6MB, time=132.81 NO POLE NO POLE x[1] = 0.893 y1[1] (analytic) = 1.6270779824759423822242836392167 y1[1] (numeric) = 1.6270779824759423582385639155635 absolute error = 2.39857197236532e-17 relative error = 1.4741591971611506693754058329040e-15 % h = 0.001 y2[1] (analytic) = 1.7789564839539508567621124092591 y2[1] (numeric) = 1.7789564839539508265861875897251 absolute error = 3.01759248195340e-17 relative error = 1.6962711056576422872830197488396e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.894 y1[1] (analytic) = 1.626298712582849395812417235037 y1[1] (numeric) = 1.6262987125828493718266766827832 absolute error = 2.39857405522538e-17 relative error = 1.4748668474415878090327762624580e-15 % h = 0.001 y2[1] (analytic) = 1.7795831723537042868343171749836 y2[1] (numeric) = 1.779583172353704256596338631282 absolute error = 3.02379785437016e-17 relative error = 1.6991607368206556424809669419245e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1380.9MB, alloc=4.6MB, time=133.44 x[1] = 0.895 y1[1] (analytic) = 1.6255188163910960181087972039415 y1[1] (numeric) = 1.6255188163910959941231359750057 absolute error = 2.39856612289358e-17 relative error = 1.4755695835122776034638604455671e-15 % h = 0.001 y2[1] (analytic) = 1.780209081170350328464432406308 y2[1] (numeric) = 1.7802090811703502981643699589425 absolute error = 3.03000624473655e-17 relative error = 1.7020507741397175198221324352287e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.896 y1[1] (analytic) = 1.6247382946805783758754541031468 y1[1] (numeric) = 1.6247382946805783518899724097478 absolute error = 2.39854816933990e-17 relative error = 1.4762673946892177665165096394414e-15 % h = 0.001 y2[1] (analytic) = 1.7808342097779802171654827883184 y2[1] (numeric) = 1.7808342097779801868033063960728 absolute error = 3.03621763922456e-17 relative error = 1.7049412138163555820488901334594e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.897 y1[1] (analytic) = 1.6239571482318181145865564576418 y1[1] (numeric) = 1.6239571482318180906013545721219 absolute error = 2.39852018855199e-17 relative error = 1.4769602702654589102666460579986e-15 % h = 0.001 y2[1] (analytic) = 1.7814585575514653974016285193201 y2[1] (numeric) = 1.781458557551465366977308279349 absolute error = 3.04243202399711e-17 relative error = 1.7078320520567123800440485815406e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1384.7MB, alloc=4.6MB, time=134.05 NO POLE NO POLE x[1] = 0.898 y1[1] (analytic) = 1.6231753778259616179068303294869 y1[1] (numeric) = 1.6231753778259615939220085841355 absolute error = 2.39848217453514e-17 relative error = 1.4776481995110127292392811557673e-15 % h = 0.001 y2[1] (analytic) = 1.7820821238664581477166687526331 y2[1] (numeric) = 1.7820821238664581172301749005518 absolute error = 3.04864938520813e-17 relative error = 1.7107232850715600109081625234039e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.899 y1[1] (analytic) = 1.6223929842447792265452407486178 y1[1] (numeric) = 1.6223929842447792025608995354947 absolute error = 2.39843412131231e-17 relative error = 1.4783311716727969030838790005887e-15 % h = 0.001 y2[1] (analytic) = 1.7827049080993922050817110238177 y2[1] (numeric) = 1.7827049080993921745330139337923 absolute error = 3.05486970900254e-17 relative error = 1.7136149090762586465746213738010e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1388.5MB, alloc=4.6MB, time=134.66 NO POLE NO POLE x[1] = 0.9 y1[1] (analytic) = 1.6216099682706644564847161514071 y1[1] (numeric) = 1.6216099682706644325009559221656 absolute error = 2.39837602292415e-17 relative error = 1.4790091759745736745797643683846e-15 % h = 0.001 y2[1] (analytic) = 1.7833269096274833884613823157136 y2[1] (numeric) = 1.7833269096274833578504525005508 absolute error = 3.06109298151628e-17 relative error = 1.7165069202907431827119660116405e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.901 y1[1] (analytic) = 1.6208263306866332165886975971928 y1[1] (numeric) = 1.6208263306866331926056188629029 absolute error = 2.39830787342899e-17 relative error = 1.4796822016168697422226371238329e-15 % h = 0.001 y2[1] (analytic) = 1.7839481278287302215979581951327 y2[1] (numeric) = 1.7839481278287301909247663063692 absolute error = 3.06731918887635e-17 relative error = 1.7193993149395155169300490501022e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1392.3MB, alloc=4.6MB, time=135.27 NO POLE NO POLE x[1] = 0.902 y1[1] (analytic) = 1.6200420722763230255852951561612 y1[1] (numeric) = 1.6200420722763230016029984871326 absolute error = 2.39822966690286e-17 relative error = 1.4803502377769144401402755070804e-15 % h = 0.001 y2[1] (analytic) = 1.7845685620819145550127872371293 y2[1] (numeric) = 1.7845685620819145242773040651211 absolute error = 3.07354831720082e-17 relative error = 1.7222920892516200282065205993521e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.903 y1[1] (analytic) = 1.619257193823992228429834484361 y1[1] (numeric) = 1.6192571938239922044484205099658 absolute error = 2.39814139743952e-17 relative error = 1.4810132736085839158875972104016e-15 % h = 0.001 y2[1] (analytic) = 1.7851882117666021872243887354735 y2[1] (numeric) = 1.7851882117666021564265852094851 absolute error = 3.07978035259884e-17 relative error = 1.7251852394606191033502509280561e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1396.2MB, alloc=4.6MB, time=135.87 NO POLE NO POLE x[1] = 0.904 y1[1] (analytic) = 1.6184716961145192120465772232376 y1[1] (numeric) = 1.6184716961145191880661466317331 absolute error = 2.39804305915045e-17 relative error = 1.4816712982423204331484709165537e-15 % h = 0.001 y2[1] (analytic) = 1.7858070762631434851826024812843 y2[1] (numeric) = 1.7858070762631434543224496695774 absolute error = 3.08601528117069e-17 relative error = 1.7280787618045911091174909964275e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.905 y1[1] (analytic) = 1.6176855799334016204503994819018 y1[1] (numeric) = 1.617685579933401596471053020253 absolute error = 2.39793464616488e-17 relative error = 1.4823243007850761681384838108593e-15 % h = 0.001 y2[1] (analytic) = 1.7864251549526740039181701757212 y2[1] (numeric) = 1.7864251549526739729956392856437 absolute error = 3.09225308900775e-17 relative error = 1.7309726525260835822540821809560e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1400.0MB, alloc=4.6MB, time=136.47 x[1] = 0.906 y1[1] (analytic) = 1.6168988460667555692492132803878 y1[1] (numeric) = 1.6168988460667555452710517540902 absolute error = 2.39781615262976e-17 relative error = 1.4829722703202197361911998885148e-15 % h = 0.001 y2[1] (analytic) = 1.787042447217115105407128827208 y2[1] (numeric) = 1.787042447217115074422191205282 absolute error = 3.09849376219260e-17 relative error = 1.7338669078721392584444906347496e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.907 y1[1] (analytic) = 1.6161114953013148595279164514162 y1[1] (numeric) = 1.6161114953013148355510407243177 absolute error = 2.39768757270985e-17 relative error = 1.4836151959075166999240014433729e-15 % h = 0.001 y2[1] (analytic) = 1.7876589524391745766493972688437 y2[1] (numeric) = 1.7876589524391745456020244008541 absolute error = 3.10473728679896e-17 relative error = 1.7367615240942325406792433020648e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.908 y1[1] (analytic) = 1.6153235284244301911146571166434 y1[1] (numeric) = 1.6153235284244301671391681107669 absolute error = 2.39754890058765e-17 relative error = 1.4842530665830109714638272507370e-15 % h = 0.001 y2[1] (analytic) = 1.7882746700023472469609377174681 y2[1] (numeric) = 1.7882746700023472158511012285503 absolute error = 3.11098364889178e-17 relative error = 1.7396564974482899747013074603990e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1403.8MB, alloc=4.6MB, time=137.08 NO POLE NO POLE x[1] = 0.909 y1[1] (analytic) = 1.6145349462240683752301994710699 y1[1] (numeric) = 1.6145349462240683512561981664353 absolute error = 2.39740013046346e-17 relative error = 1.4848858713589863885190336016991e-15 % h = 0.001 y2[1] (analytic) = 1.78888959929091560447887508227 y2[1] (numeric) = 1.788889599290915573306546736998 absolute error = 3.11723283452720e-17 relative error = 1.7425518241946380072438726401194e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.91 y1[1] (analytic) = 1.6137457494888115465211782261747 y1[1] (numeric) = 1.613745749488811522548765660621 absolute error = 2.39724125655537e-17 relative error = 1.4855135992238848030484454752197e-15 % h = 0.001 y2[1] (analytic) = 1.7895037396899504118789575178716 y2[1] (numeric) = 1.7895037396899503806441092203454 absolute error = 3.12348482975262e-17 relative error = 1.7454475005980123174525004181004e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1407.6MB, alloc=4.6MB, time=137.69 NO POLE NO POLE x[1] = 0.911 y1[1] (analytic) = 1.6129559390078563744780296784564 y1[1] (numeric) = 1.6129559390078563505073069474636 absolute error = 2.39707227309928e-17 relative error = 1.4861362391422425316355327142840e-15 % h = 0.001 y2[1] (analytic) = 1.7901170905853113213047425044789 y2[1] (numeric) = 1.790117090585311290007346298412 absolute error = 3.12973962060669e-17 relative error = 1.7483435229275224351389793571354e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.912 y1[1] (analytic) = 1.612165515571013274238387985384 y1[1] (numeric) = 1.6121655155710132502694562418947 absolute error = 2.39689317434893e-17 relative error = 1.4867537800546328247597480544526e-15 % h = 0.001 y2[1] (analytic) = 1.7907296513636474885078935259636 y2[1] (numeric) = 1.79072965136364745714792159477 absolute error = 3.13599719311936e-17 relative error = 1.7512398874566499335591462440789e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1411.4MB, alloc=4.6MB, time=138.29 NO POLE NO POLE x[1] = 0.913 y1[1] (analytic) = 1.6113744799687056167767358452946 y1[1] (numeric) = 1.6113744799687055928096962995359 absolute error = 2.39670395457587e-17 relative error = 1.4873662108775709344711336316695e-15 % h = 0.001 y2[1] (analytic) = 1.7913414214123981861989732056309 y2[1] (numeric) = 1.791341421412398154776397872512 absolute error = 3.14225753331189e-17 relative error = 1.7541365904632242921533578615809e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.914 y1[1] (analytic) = 1.6105828329919689384810993915234 y1[1] (numeric) = 1.6105828329919689145160533108283 absolute error = 2.39650460806951e-17 relative error = 1.4879735205034685768823530432097e-15 % h = 0.001 y2[1] (analytic) = 1.7919524001197934166081195489314 y2[1] (numeric) = 1.7919524001197933851229132769629 absolute error = 3.14852062719685e-17 relative error = 1.7570336282293932241609991742048e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1415.2MB, alloc=4.6MB, time=138.90 NO POLE NO POLE x[1] = 0.915 y1[1] (analytic) = 1.609790575432450150117577724003 y1[1] (numeric) = 1.6097905754324501261546264326319 absolute error = 2.39629512913711e-17 relative error = 1.4885756978005509915628458136938e-15 % h = 0.001 y2[1] (analytic) = 1.7925625868748545232549927324916 y2[1] (numeric) = 1.7925625868748544917071281247098 absolute error = 3.15478646077818e-17 relative error = 1.7599309970416265324314114602932e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.916 y1[1] (analytic) = 1.6089977080824067451834981137382 y1[1] (numeric) = 1.6089977080824067212227429927 absolute error = 2.39607551210382e-17 relative error = 1.4891727316128048345061842474587e-15 % h = 0.001 y2[1] (analytic) = 1.7931719810673948019273806695674 y2[1] (numeric) = 1.7931719810673947703168304690556 absolute error = 3.16105502005118e-17 relative error = 1.7628286931906809162832389531792e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.917 y1[1] (analytic) = 1.6082042317347060076499885269339 y1[1] (numeric) = 1.6082042317347059836915310138077 absolute error = 2.39584575131262e-17 relative error = 1.4897646107598637392780129872851e-15 % h = 0.001 y2[1] (analytic) = 1.7937805820880201108678523733656 y2[1] (numeric) = 1.7937805820880200791945894633403 absolute error = 3.16732629100253e-17 memory used=1419.0MB, alloc=4.6MB, time=139.50 relative error = 1.7657267129715815704832470110465e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.918 y1[1] (analytic) = 1.6074101471828242190947597261393 y1[1] (numeric) = 1.607410147182824195138701314895 absolute error = 2.39560584112443e-17 relative error = 1.4903513240369993029576753020311e-15 % h = 0.001 y2[1] (analytic) = 1.7943883893281294801678489316321 y2[1] (numeric) = 1.7943883893281294484318463355285 absolute error = 3.17360025961036e-17 relative error = 1.7686250526836316821770771645720e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.919 y1[1] (analytic) = 1.6066154552208458652258898155579 y1[1] (numeric) = 1.6066154552208458412723320563773 absolute error = 2.39535577591806e-17 relative error = 1.4909328602150124607708973758827e-15 % h = 0.001 y2[1] (analytic) = 1.7949954021799157203686026984643 y2[1] (numeric) = 1.7949954021799156885698335800221 absolute error = 3.17987691184422e-17 relative error = 1.7715237086303661940030468295025e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1422.9MB, alloc=4.6MB, time=140.11 NO POLE NO POLE x[1] = 0.92 y1[1] (analytic) = 1.6058201566434628417974047066744 y1[1] (numeric) = 1.6058201566434628178464492057721 absolute error = 2.39509555009023e-17 relative error = 1.4915092080401681335151188052165e-15 % h = 0.001 y2[1] (analytic) = 1.7956016200363660302682761024816 y2[1] (numeric) = 1.7956016200363659984067137658306 absolute error = 3.18615623366510e-17 relative error = 1.7744226771195335027683677023413e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.921 y1[1] (analytic) = 1.6050242522459736599174485885512 y1[1] (numeric) = 1.6050242522459736359691970079955 absolute error = 2.39482515805557e-17 relative error = 1.4920803562341172237228996767919e-15 % h = 0.001 y2[1] (analytic) = 1.7962070422912626039347122642647 y2[1] (numeric) = 1.7962070422912625720103301540096 absolute error = 3.19243821102551e-17 relative error = 1.7773219544631105947488776810580e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1426.7MB, alloc=4.6MB, time=140.70 NO POLE NO POLE x[1] = 0.922 y1[1] (analytic) = 1.6042277428242826507498390945582 y1[1] (numeric) = 1.6042277428242826268043931520914 absolute error = 2.39454459424668e-17 relative error = 1.4926462934938557848271908576405e-15 % h = 0.001 y2[1] (analytic) = 1.7968116683391832369231904103635 y2[1] (numeric) = 1.7968116683391832049359621116691 absolute error = 3.19872282986944e-17 relative error = 1.7802215369772513613528464540286e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.923 y1[1] (analytic) = 1.6034306291748991696098024639136 y1[1] (numeric) = 1.6034306291748991456672639327728 absolute error = 2.39425385311408e-17 relative error = 1.4932070084916154699195777916827e-15 % h = 0.001 y2[1] (analytic) = 1.797415497575501931698579866169 y2[1] (numeric) = 1.7974154975755018996484791048451 absolute error = 3.20501007613239e-17 relative error = 1.7831214209822739598709405673330e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1430.5MB, alloc=4.6MB, time=141.31 NO POLE NO POLE x[1] = 0.924 y1[1] (analytic) = 1.6026329120949367994546846022351 y1[1] (numeric) = 1.6026329120949367755151553109724 absolute error = 2.39395292912627e-17 relative error = 1.4937624898748222949672105929393e-15 % h = 0.001 y2[1] (analytic) = 1.7980185293963895022612872055464 y2[1] (numeric) = 1.798018529396389470148287848132 absolute error = 3.21129993574144e-17 relative error = 1.7860216028026704422450048430433e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.925 y1[1] (analytic) = 1.6018345923821125537704345503238 y1[1] (numeric) = 1.6018345923821125298340163826267 absolute error = 2.39364181676971e-17 relative error = 1.4943127262660053404782735450717e-15 % h = 0.001 y2[1] (analytic) = 1.7986207631988141779763919313308 y2[1] (numeric) = 1.7986207631988141458004679851787 absolute error = 3.21759239461521e-17 relative error = 1.7889220787670552024235192606463e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1434.3MB, alloc=4.6MB, time=141.91 NO POLE NO POLE x[1] = 0.926 y1[1] (analytic) = 1.6010356708347460788546574746306 y1[1] (numeric) = 1.6010356708347460549214523691422 absolute error = 2.39332051054884e-17 relative error = 1.4948577062627301684362339298530e-15 % h = 0.001 y2[1] (analytic) = 1.7992221983805422066053668576022 y2[1] (numeric) = 1.7992221983805421743664924709629 absolute error = 3.22388743866393e-17 relative error = 1.7918228452081746607255756635516e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.927 y1[1] (analytic) = 1.6002361482517588554970348962863 y1[1] (numeric) = 1.6002361482517588315671448464252 absolute error = 2.39298900498611e-17 relative error = 1.4953974184375382935175044986082e-15 % h = 0.001 y2[1] (analytic) = 1.7998228343401384565397801620681 y2[1] (numeric) = 1.7998228343401384242379296241738 absolute error = 3.23018505378943e-17 relative error = 1.7947238984628724758482430865528e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.928 y1[1] (analytic) = 1.5994360254326734000579104782075 y1[1] (numeric) = 1.5994360254326733761314375319878 absolute error = 2.39264729462197e-17 relative error = 1.4959318513378614687803613781283e-15 % h = 0.001 y2[1] (analytic) = 1.8004226704769670182363768749028 y2[1] (numeric) = 1.800422670476966985871524616051 absolute error = 3.23648522588518e-17 relative error = 1.7976252348720825937037307570483e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1438.1MB, alloc=4.6MB, time=142.51 NO POLE NO POLE x[1] = 0.929 y1[1] (analytic) = 1.5986353031776124649458402916272 y1[1] (numeric) = 1.5986353031776124410228865514786 absolute error = 2.39229537401486e-17 relative error = 1.4964609934859357189184141926395e-15 % h = 0.001 y2[1] (analytic) = 1.8010217061911918048529383690117 y2[1] (numeric) = 1.8010217061911917724250589606486 absolute error = 3.24278794083631e-17 relative error = 1.8005268507808112012354833120405e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.93 y1[1] (analytic) = 1.597833982287298238494907084433 y1[1] (numeric) = 1.5978339822872982145755747070201 absolute error = 2.39193323774129e-17 relative error = 1.4969848333787714463045429068513e-15 % h = 0.001 y2[1] (analytic) = 1.8016199408837771520843192159106 y2[1] (numeric) = 1.8016199408837771195933873707146 absolute error = 3.24909318451960e-17 relative error = 1.8034287425381020604893345107925e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1441.9MB, alloc=4.6MB, time=143.14 NO POLE NO POLE x[1] = 0.931 y1[1] (analytic) = 1.5970320635630515442425986739304 y1[1] (numeric) = 1.5970320635630515203269898699726 absolute error = 2.39156088039578e-17 relative error = 1.4975033594880357896307195617669e-15 % h = 0.001 y2[1] (analytic) = 1.8022173739564884171980615712348 y2[1] (numeric) = 1.8022173739564883846440521431991 absolute error = 3.25540094280357e-17 relative error = 1.8063309064970573948122127106846e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.932 y1[1] (analytic) = 1.5962295478067910396090511860886 y1[1] (numeric) = 1.5962295478067910156972682201795 absolute error = 2.39117829659091e-17 relative error = 1.4980165602600035457157571751186e-15 % h = 0.001 y2[1] (analytic) = 1.802814004811892577268988054311 y2[1] (numeric) = 1.8028140048118925446518760388266 absolute error = 3.26171120154844e-17 relative error = 1.8092333390147866199436889299716e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1445.7MB, alloc=4.6MB, time=143.74 NO POLE NO POLE x[1] = 0.933 y1[1] (analytic) = 1.5954264358210324139784584619569 y1[1] (numeric) = 1.5954264358210323900706036523836 absolute error = 2.39078548095733e-17 relative error = 1.4985244241154828769417913021226e-15 % h = 0.001 y2[1] (analytic) = 1.8034098328533588266121748872515 y2[1] (numeric) = 1.8034098328533587939319354211898 absolute error = 3.26802394660617e-17 relative error = 1.8121360364523995332589175745470e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.934 y1[1] (analytic) = 1.5946227284088875861834495497756 y1[1] (numeric) = 1.5946227284088875622796252683382 absolute error = 2.39038242814374e-17 relative error = 1.4990269394497219865942103839039e-15 % h = 0.001 y2[1] (analytic) = 1.8040048574850591734137078606457 y2[1] (numeric) = 1.8040048574850591406703162224407 absolute error = 3.27433916382050e-17 relative error = 1.8150389951749995123692551380821e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1449.6MB, alloc=4.6MB, time=144.34 NO POLE NO POLE x[1] = 0.935 y1[1] (analytic) = 1.5938184263740639013932367983387 y1[1] (numeric) = 1.5938184263740638774935454701692 absolute error = 2.38996913281695e-17 relative error = 1.4995240946323657114807731976239e-15 % h = 0.001 y2[1] (analytic) = 1.8045990781119690355586244951433 y2[1] (numeric) = 1.8045990781119690027520561048739 absolute error = 3.28065683902694e-17 relative error = 1.8179422115516490161208255681479e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.936 y1[1] (analytic) = 1.5930135305208633274063376633907 y1[1] (numeric) = 1.5930135305208633035108817667724 absolute error = 2.38954558966183e-17 relative error = 1.5000158780073429373941075568143e-15 % h = 0.001 y2[1] (analytic) = 1.8051924941398678356554465710368 y2[1] (numeric) = 1.8051924941398678027856769905085 absolute error = 3.28697695805283e-17 relative error = 1.8208456819553739266779469689260e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1453.4MB, alloc=4.6MB, time=144.94 NO POLE NO POLE x[1] = 0.937 y1[1] (analytic) = 1.5922080416541816503486739342715 y1[1] (numeric) = 1.5922080416541816264575560004575 absolute error = 2.38911179338140e-17 relative error = 1.5005022778928416073085993927134e-15 % h = 0.001 y2[1] (analytic) = 1.8057851049753395952567080013595 y2[1] (numeric) = 1.8057851049753395623237129341863 absolute error = 3.29329950671732e-17 relative error = 1.8237494027631235768901060252722e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.938 y1[1] (analytic) = 1.5914019605795076697778526826406 y1[1] (numeric) = 1.591401960579507645891175295673 absolute error = 2.38866773869676e-17 relative error = 1.5009832825811831195280583883318e-15 % h = 0.001 y2[1] (analytic) = 1.8063769100257735282748838280223 y2[1] (numeric) = 1.8063769100257734952786391197079 absolute error = 3.29962447083144e-17 relative error = 1.8266533703557806757564917312181e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.939 y1[1] (analytic) = 1.590595288102922393194433828935 y1[1] (numeric) = 1.5905952881029223693122996254634 absolute error = 2.38821342034716e-17 relative error = 1.5014588803387843675999229183451e-15 % h = 0.001 y2[1] (analytic) = 1.8069679086993646335931269251073 y2[1] (numeric) = 1.8069679086993646005336085631267 absolute error = 3.30595183619806e-17 relative error = 1.8295575811181103348315830596542e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1457.2MB, alloc=4.6MB, time=145.55 NO POLE NO POLE x[1] = 0.94 y1[1] (analytic) = 1.589788025031098229960989815224 y1[1] (numeric) = 1.5897880250310982060835014843243 absolute error = 2.38774883308997e-17 relative error = 1.5019290594060567695655509251398e-15 % h = 0.001 y2[1] (analytic) = 1.8075581004051142868702197986342 y2[1] (numeric) = 1.8075581004051142537474039125142 absolute error = 3.31228158861200e-17 relative error = 1.8324620314387921754309968875382e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.941 y1[1] (analytic) = 1.5889801721712981846297634653354 y1[1] (numeric) = 1.5889801721712981607570237483281 absolute error = 2.38727397170073e-17 relative error = 1.5023938079973553427645009167294e-15 % h = 0.001 y2[1] (analytic) = 1.8081474845528308315391496778929 y2[1] (numeric) = 1.8081474845528307983530125392936 absolute error = 3.31861371385993e-17 relative error = 1.8353667177103362278986059917956e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1461.0MB, alloc=4.6MB, time=146.16 NO POLE NO POLE x[1] = 0.942 y1[1] (analytic) = 1.5881717303313750496797307045275 y1[1] (numeric) = 1.5881717303313750258118423947962 absolute error = 2.38678883097313e-17 relative error = 1.5028531143008835540645259472938e-15 % h = 0.001 y2[1] (analytic) = 1.8087360605531301689987158998209 y2[1] (numeric) = 1.8087360605531301357492339226157 absolute error = 3.32494819772052e-17 relative error = 1.8382716363291372092906238186783e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.943 y1[1] (analytic) = 1.5873627003197705976638754015769 y1[1] (numeric) = 1.5873627003197705738009413443866 absolute error = 2.38629340571903e-17 relative error = 1.5033069664786230852324192777321e-15 % h = 0.001 y2[1] (analytic) = 1.8093238278174363479975793948635 y2[1] (numeric) = 1.8093238278174363146847291352196 absolute error = 3.33128502596439e-17 relative error = 1.8411767836954181524289892652397e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1464.8MB, alloc=4.6MB, time=146.76 NO POLE NO POLE x[1] = 0.944 y1[1] (analytic) = 1.58655308294551477276748418594 y1[1] (numeric) = 1.5865530829455147489096072782554 absolute error = 2.38578769076846e-17 relative error = 1.5037553526662507844322361253141e-15 % h = 0.001 y2[1] (analytic) = 1.8099107857579821532101648903185 y2[1] (numeric) = 1.8099107857579821198339230467772 absolute error = 3.33762418435413e-17 relative error = 1.8440821562132128167505589497956e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.945 y1[1] (analytic) = 1.5857428790182248817782696816264 y1[1] (numeric) = 1.5857428790182248579255528719297 absolute error = 2.38527168096967e-17 relative error = 1.5041982609730869013870480356413e-15 % h = 0.001 y2[1] (analytic) = 1.8104969337878096930038272553123 y2[1] (numeric) = 1.8104969337878096595641706688687 absolute error = 3.34396565864436e-17 relative error = 1.8469877502903702226055711746371e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1468.6MB, alloc=4.6MB, time=147.37 NO POLE NO POLE x[1] = 0.946 y1[1] (analytic) = 1.5849320893481047844691311875929 y1[1] (numeric) = 1.5849320893481047606216774757019 absolute error = 2.38474537118910e-17 relative error = 1.5046356794819926957068229171057e-15 % h = 0.001 y2[1] (analytic) = 1.8110822713207709863966942202884 y2[1] (numeric) = 1.8110822713207709528935998744713 absolute error = 3.35030943458171e-17 relative error = 1.8498935623385150001723913917605e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.947 y1[1] (analytic) = 1.5841207147459440833943624218299 y1[1] (numeric) = 1.5841207147459440595522748587159 absolute error = 2.38420875631140e-17 relative error = 1.5050675962492993014857200402002e-15 % h = 0.001 y2[1] (analytic) = 1.8116667977715285492055985132169 y2[1] (numeric) = 1.811666797771528515639043534168 absolute error = 3.35665549790489e-17 relative error = 1.8527995887730574891720518871688e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1472.4MB, alloc=4.6MB, time=147.97 NO POLE NO POLE x[1] = 0.948 y1[1] (analytic) = 1.5833087560231173131001165328662 y1[1] (numeric) = 1.5833087560231172892634982204715 absolute error = 2.38366183123947e-17 relative error = 1.5054939993047490124836557748631e-15 % h = 0.001 y2[1] (analytic) = 1.8122505125555559793835132646391 y2[1] (numeric) = 1.8122505125555559457534749211926 absolute error = 3.36300383434465e-17 relative error = 1.8557058260131431169277422774231e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.949 y1[1] (analytic) = 1.5824962139915831287499391681575 y1[1] (numeric) = 1.5824962139915831049188932592135 absolute error = 2.38310459089440e-17 relative error = 1.5059148766513732029884817449313e-15 % h = 0.001 y2[1] (analytic) = 1.8128334150891385415459053441629 y2[1] (numeric) = 1.8128334150891385078523610479242 absolute error = 3.36935442962387e-17 relative error = 1.8586122704816735810829810187283e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.95 y1[1] (analytic) = 1.5816830894638834941661809737605 y1[1] (numeric) = 1.5816830894638834703408106716047 absolute error = 2.38253703021558e-17 relative error = 1.5063302162654773606868039974365e-15 % h = 0.001 y2[1] (analytic) = 1.8134155047893737506854221021026 y2[1] (numeric) = 1.8134155047893737169283494075275 absolute error = 3.37570726945751e-17 relative error = 1.8615189186052507849567289284045e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1476.3MB, alloc=4.6MB, time=148.57 NO POLE NO POLE x[1] = 0.951 y1[1] (analytic) = 1.5808693832531428692881014838095 y1[1] (numeric) = 1.5808693832531428454685100422035 absolute error = 2.38195914416060e-17 relative error = 1.5067400060964932430382593968844e-15 % h = 0.001 y2[1] (analytic) = 1.8139967810741719550743278016264 y2[1] (numeric) = 1.8139967810741719212537044060993 absolute error = 3.38206233955271e-17 relative error = 1.8644257668142035670924587661205e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.952 y1[1] (analytic) = 1.580055096173067397047476941627 y1[1] (numeric) = 1.5800550961730673732337676645733 absolute error = 2.38137092770537e-17 relative error = 1.5071442340669698206744786895925e-15 % h = 0.001 y2[1] (analytic) = 1.8145772433622569183541068390228 y2[1] (numeric) = 1.8145772433622568844699105829351 absolute error = 3.38841962560877e-17 relative error = 1.8673328115425482441967813920678e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1480.1MB, alloc=4.6MB, time=149.18 NO POLE NO POLE x[1] = 0.953 y1[1] (analytic) = 1.5792402290379440896625251767901 y1[1] (numeric) = 1.5792402290379440658548014183495 absolute error = 2.38077237584406e-17 relative error = 1.5075428880724502221915452432932e-15 % h = 0.001 y2[1] (analytic) = 1.815156891073166400811651662531 y2[1] (numeric) = 1.8151568910731663668638605293595 absolute error = 3.39477911331715e-17 relative error = 1.8702400492279602440956074492342e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.954 y1[1] (analytic) = 1.5784247826626400143509612441614 y1[1] (numeric) = 1.5784247826626399905493264082701 absolute error = 2.38016348358913e-17 relative error = 1.5079359559814053252036124660519e-15 % h = 0.001 y2[1] (analytic) = 1.8157357236272527398414541135974 y2[1] (numeric) = 1.8157357236272527058300462299819 absolute error = 3.40114078836155e-17 relative error = 1.8731474763117898481508944517461e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1483.9MB, alloc=4.6MB, time=149.78 NO POLE NO POLE x[1] = 0.955 y1[1] (analytic) = 1.5776087578626014784629981117605 y1[1] (numeric) = 1.5776087578626014546675556520473 absolute error = 2.37954424597132e-17 relative error = 1.5083234256351417952016050458107e-15 % h = 0.001 y2[1] (analytic) = 1.8163137404456834295932197284128 y2[1] (numeric) = 1.8163137404456833955181733642341 absolute error = 3.40750463641787e-17 relative error = 1.8760550892390118315804533394125e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.956 y1[1] (analytic) = 1.5767921554538532140351072644082 y1[1] (numeric) = 1.576792155453853190245960684011 absolute error = 2.37891465803972e-17 relative error = 1.5087052848477605835374617545011e-15 % h = 0.001 y2[1] (analytic) = 1.8168909409504416998043253521668 y2[1] (numeric) = 1.8168909409504416656656189206241 absolute error = 3.41387064315427e-17 relative error = 1.8789628844582302349013207569063e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1487.7MB, alloc=4.6MB, time=150.39 NO POLE NO POLE x[1] = 0.957 y1[1] (analytic) = 1.5759749762529975617653546693133 y1[1] (numeric) = 1.5759749762529975379826075206962 absolute error = 2.37827471486171e-17 relative error = 1.5090815214060328167159437294913e-15 % h = 0.001 y2[1] (analytic) = 1.8174673245643270938165412336083 y2[1] (numeric) = 1.8174673245643270596141532912963 absolute error = 3.42023879423120e-17 relative error = 1.8818708584216666156298175946515e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.958 y1[1] (analytic) = 1.5751572210772136544111281281996 y1[1] (numeric) = 1.5751572210772136306348840129694 absolute error = 2.37762441152302e-17 relative error = 1.5094521230693514913703839408527e-15 % h = 0.001 y2[1] (analytic) = 1.8180428907109560457764395832387 y2[1] (numeric) = 1.8180428907109560115103488302246 absolute error = 3.42660907530141e-17 relative error = 1.8847790075851373174176483509035e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1491.5MB, alloc=4.6MB, time=150.99 NO POLE NO POLE x[1] = 0.959 y1[1] (analytic) = 1.5743388907442565996100726181766 y1[1] (numeric) = 1.5743388907442565758404351868996 absolute error = 2.37696374312770e-17 relative error = 1.5098170775696258610589318627994e-15 % h = 0.001 y2[1] (analytic) = 1.8186176388147624570189123947776 y2[1] (numeric) = 1.818617638814762422689097674678 absolute error = 3.43298147200996e-17 relative error = 1.8876873284080307782777625609871e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.96 y1[1] (analytic) = 1.5735199860724566621250508003519 y1[1] (numeric) = 1.5735199860724566383621237523701 absolute error = 2.37629270479818e-17 relative error = 1.5101763726112326995384430349515e-15 % h = 0.001 y2[1] (analytic) = 1.8191915683009982716332221464304 y2[1] (numeric) = 1.8191915683009982372396624464881 absolute error = 3.43935596999423e-17 relative error = 1.8905958173532848777032492897659e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.961 y1[1] (analytic) = 1.5727005078807184455139464511542 y1[1] (numeric) = 1.572700507880718421757833534402 absolute error = 2.37561129167522e-17 relative error = 1.5105299958708974779610694318393e-15 % h = 0.001 y2[1] (analytic) = 1.8197646785957340512110098159569 y2[1] (numeric) = 1.8197646785957340167536842671168 absolute error = 3.44573255488401e-17 relative error = 1.8935044708874082842111768190065e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1495.3MB, alloc=4.6MB, time=151.61 NO POLE NO POLE x[1] = 0.962 y1[1] (analytic) = 1.5718804569885200732251291464982 y1[1] (numeric) = 1.5718804569885200494759341573183 absolute error = 2.37491949891799e-17 relative error = 1.5108779349976578836360844186678e-15 % h = 0.001 y2[1] (analytic) = 1.820336969125859548775685461578 y2[1] (numeric) = 1.8203369691258595142545733385636 absolute error = 3.45211121230144e-17 relative error = 1.8964132854804193561358250052086e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.963 y1[1] (analytic) = 1.5710598342159123691193991032558 y1[1] (numeric) = 1.5710598342159123453772258862157 absolute error = 2.37421732170401e-17 relative error = 1.5112201776127381226083809442881e-15 % h = 0.001 y2[1] (analytic) = 1.8209084393190842818926274393802 y2[1] (numeric) = 1.8209084393190842473077081607694 absolute error = 3.45849192786108e-17 relative error = 1.8993222576058565465021447567171e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1499.2MB, alloc=4.6MB, time=152.21 NO POLE NO POLE x[1] = 0.964 y1[1] (analytic) = 1.5702386403835180374192316560228 y1[1] (numeric) = 1.5702386403835180136841841037306 absolute error = 2.37350475522922e-17 relative error = 1.5115567113095056281577112882624e-15 % h = 0.001 y2[1] (analytic) = 1.8214790886039381049596171470655 y2[1] (numeric) = 1.8214790886039380703108702753662 absolute error = 3.46487468716993e-17 relative error = 1.9022313837407613339060713492861e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.965 y1[1] (analytic) = 1.5694168763125308420861414198663 y1[1] (numeric) = 1.5694168763125308183583234727868 absolute error = 2.37278179470795e-17 relative error = 1.5118875236533639256553292716198e-15 % h = 0.001 y2[1] (analytic) = 1.8220489164097717806769370036593 y2[1] (numeric) = 1.8220489164097717459643422453849 absolute error = 3.47125947582744e-17 relative error = 1.9051406603656556930560088243053e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1503.0MB, alloc=4.6MB, time=152.84 NO POLE NO POLE x[1] = 0.966 y1[1] (analytic) = 1.5685945428247147856269867616215 y1[1] (numeric) = 1.5685945428247147619065024078919 absolute error = 2.37204843537296e-17 relative error = 1.5122126021816897970369833696481e-15 % h = 0.001 y2[1] (analytic) = 1.8226179221667575506965601951263 y2[1] (numeric) = 1.822617922166757515920097400871 absolute error = 3.47764627942553e-17 relative error = 1.9080500839645250900762895989279e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.967 y1[1] (analytic) = 1.5677716407424032873300357733647 y1[1] (numeric) = 1.5677716407424032636169890486106 absolute error = 2.37130467247541e-17 relative error = 1.5125319344037256087289702959060e-15 % h = 0.001 y2[1] (analytic) = 1.8231861053058897054498615367527 y2[1] (numeric) = 1.8231861053058896706095107012665 absolute error = 3.48403508354862e-17 relative error = 1.9109596510248069904094906409674e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1506.8MB, alloc=4.6MB, time=153.44 NO POLE NO POLE x[1] = 0.968 y1[1] (analytic) = 1.5669481708884983609316155119276 y1[1] (numeric) = 1.5669481708884983372261104990786 absolute error = 2.37055050128490e-17 relative error = 1.5128455078005159838672162327891e-15 % h = 0.001 y2[1] (analytic) = 1.8237534652589851531532796246302 y2[1] (numeric) = 1.8237534652589851182490208868936 absolute error = 3.49042587377366e-17 relative error = 1.9138693580373793840568907945624e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.969 y1[1] (analytic) = 1.5661241340864697917141668377364 y1[1] (numeric) = 1.5661241340864697680163076668413 absolute error = 2.36978591708951e-17 relative error = 1.5131533098248442855985281392316e-15 % h = 0.001 y2[1] (analytic) = 1.8243200014586839879913612706282 y2[1] (numeric) = 1.8243200014586839530231749139269 absolute error = 3.49681863567013e-17 relative error = 1.9167792014965328836290455522727e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1510.6MB, alloc=4.6MB, time=154.05 NO POLE NO POLE x[1] = 0.97 y1[1] (analytic) = 1.5652995311603543130365277548499 y1[1] (numeric) = 1.5652995311603542893464186028926 absolute error = 2.36901091519573e-17 relative error = 1.5134553279010986368096896024402e-15 % h = 0.001 y2[1] (analytic) = 1.8248857133384500574766200378563 y2[1] (numeric) = 1.8248857133384500224444864898554 absolute error = 3.50321335480009e-17 relative error = 1.9196891778999702692080364779782e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.971 y1[1] (analytic) = 1.5644743629347547822972687218476 y1[1] (numeric) = 1.5644743629347547586150138125622 absolute error = 2.36822549092854e-17 relative error = 1.5137515494252334062632997840950e-15 % h = 0.001 y2[1] (analytic) = 1.8254506003325715289856415168064 y2[1] (numeric) = 1.8254506003325714938895413496245 absolute error = 3.50961001671819e-17 relative error = 1.9225992837487841175088318597353e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.972 y1[1] (analytic) = 1.5636486302348393563319039701617 y1[1] (numeric) = 1.5636486302348393326576075738477 absolute error = 2.36742963963140e-17 relative error = 1.5140419617646730264712290412788e-15 % h = 0.001 y2[1] (analytic) = 1.8260146618761614554708688061158 y2[1] (numeric) = 1.826014661876161420310782736399 absolute error = 3.51600860697168e-17 relative error = 1.9255095155474344684546606320217e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1514.4MB, alloc=4.6MB, time=154.65 NO POLE NO POLE x[1] = 0.973 y1[1] (analytic) = 1.5628223338863406662448034325732 y1[1] (numeric) = 1.5628223338863406425785698659109 absolute error = 2.36662335666623e-17 relative error = 1.5143265522582091196410249832926e-15 % h = 0.001 y2[1] (analytic) = 1.8265778974051583403475024862134 y2[1] (numeric) = 1.826577897405158305123411375209 absolute error = 3.52240911110044e-17 relative error = 1.9284198698037374784116151484509e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.974 y1[1] (analytic) = 1.5619954747155549916766304498929 y1[1] (numeric) = 1.5619954747155549680185640757581 absolute error = 2.36580663741348e-17 relative error = 1.5146053082159549274636067701654e-15 % h = 0.001 y2[1] (analytic) = 1.8271403063563267015549501989961 y2[1] (numeric) = 1.827140306356326666266835052626 absolute error = 3.52881151463701e-17 relative error = 1.9313303430288540902318302402039e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1518.2MB, alloc=4.6MB, time=155.26 NO POLE NO POLE x[1] = 0.975 y1[1] (analytic) = 1.5611680535493414345081309883184 y1[1] (numeric) = 1.5611680535493414108583362155977 absolute error = 2.36497947727207e-17 relative error = 1.5148782169192163370591840247569e-15 % h = 0.001 y2[1] (analytic) = 1.8277018881672576347922617721328 y2[1] (numeric) = 1.8277018881672575994401037410664 absolute error = 3.53521580310664e-17 relative error = 1.9342409317372896627654193642345e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.976 y1[1] (analytic) = 1.5603400712151210920011006636116 y1[1] (numeric) = 1.5603400712151210683596819470169 absolute error = 2.36414187165947e-17 relative error = 1.5151452656204522327616558357901e-15 % h = 0.001 y2[1] (analytic) = 1.8282626422763693759269866526067 y2[1] (numeric) = 1.8282626422763693405107670323344 absolute error = 3.54162196202723e-17 relative error = 1.9371516324468334305464221243532e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1522.0MB, alloc=4.6MB, time=155.87 NO POLE NO POLE x[1] = 0.977 y1[1] (analytic) = 1.5595115285408762293773564310583 y1[1] (numeric) = 1.559511528540876205744418270942 absolute error = 2.36329381601163e-17 relative error = 1.5154064415431385499344573706181e-15 % h = 0.001 y2[1] (analytic) = 1.8288225681229078625768912406878 y2[1] (numeric) = 1.8288225681229078270965914715935 absolute error = 3.54802997690943e-17 relative error = 1.9400624416785855586771063560099e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.978 y1[1] (analytic) = 1.5586824263551494518365403621718 y1[1] (numeric) = 1.5586824263551494282121873043408 absolute error = 2.36243530578310e-17 relative error = 1.5156617318817538055392007896593e-15 % h = 0.001 y2[1] (analytic) = 1.8293816651469472948639745426626 y2[1] (numeric) = 1.8293816651469472593195762100961 absolute error = 3.55443983325665e-17 relative error = 1.9429733559569349468413690001693e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1525.9MB, alloc=4.6MB, time=156.47 NO POLE NO POLE x[1] = 0.979 y1[1] (analytic) = 1.5578527654870428760135834902649 y1[1] (numeric) = 1.5578527654870428523979201257955 absolute error = 2.36156633644694e-17 relative error = 1.5159111238016297942525209097840e-15 % h = 0.001 y2[1] (analytic) = 1.8299399327893906953402213883531 y2[1] (numeric) = 1.8299399327893906597317062227027 absolute error = 3.56085151656504e-17 relative error = 1.9458843718095206759418442940726e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.98 y1[1] (analytic) = 1.5570225467662173008766582673599 y1[1] (numeric) = 1.5570225467662172772697892324124 absolute error = 2.36068690349475e-17 relative error = 1.5161546044388788903735789147743e-15 % h = 0.001 y2[1] (analytic) = 1.8304973704919704680845332877192 y2[1] (numeric) = 1.8304973704919704324118831644836 absolute error = 3.56726501232356e-17 relative error = 1.9487954857672426880712012091969e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1529.7MB, alloc=4.6MB, time=157.08 NO POLE NO POLE x[1] = 0.981 y1[1] (analytic) = 1.5561917710228913780664487344139 y1[1] (numeric) = 1.5561917710228913544684787100467 absolute error = 2.35979700243672e-17 relative error = 1.5163921609003339818764735612573e-15 % h = 0.001 y2[1] (analytic) = 1.8310539776972489569702778296585 y2[1] (numeric) = 1.8310539776972489212334747695188 absolute error = 3.57368030601397e-17 relative error = 1.9517066943642287520848068824167e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.982 y1[1] (analytic) = 1.5553604390878407816775680655199 y1[1] (numeric) = 1.5553604390878407580886017775037 absolute error = 2.35889662880162e-17 relative error = 1.5166237802634496489407432820582e-15 % h = 0.001 y2[1] (analytic) = 1.831609753848619003102898355503 y2[1] (numeric) = 1.831609753848618967301924524394 absolute error = 3.58009738311090e-17 relative error = 1.9546179941378451626795607133050e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.983 y1[1] (analytic) = 1.5545285517923973774829537045974 y1[1] (numeric) = 1.5545285517923973539030959232297 absolute error = 2.35798577813677e-17 relative error = 1.5168494495761901732478151725345e-15 % h = 0.001 y2[1] (analytic) = 1.8321646983903045014270264696466 y2[1] (numeric) = 1.8321646983903044655618641788287 absolute error = 3.58651622908179e-17 relative error = 1.9575293816286364615211462924439e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1533.5MB, alloc=4.6MB, time=157.70 NO POLE NO POLE x[1] = 0.984 y1[1] (analytic) = 1.5536961099684483916020708701086 y1[1] (numeric) = 1.5536961099684483680314264100272 absolute error = 2.35706444600814e-17 relative error = 1.5170691558570008725311006955929e-15 % h = 0.001 y2[1] (analytic) = 1.8327188107673609565025407802402 y2[1] (numeric) = 1.8327188107673609205731724863701 absolute error = 3.59293682938701e-17 relative error = 1.9604408533803634784451123593151e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.985 y1[1] (analytic) = 1.5528631144484355786137557595258 y1[1] (numeric) = 1.5528631144484355550524294795232 absolute error = 2.35613262800026e-17 relative error = 1.5172828860946570021067505467053e-15 % h = 0.001 y2[1] (analytic) = 1.8332720904256760374490160939396 y2[1] (numeric) = 1.8332720904256760014554243991417 absolute error = 3.59935916947979e-17 relative error = 1.9633524059399376596212159912844e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1537.3MB, alloc=4.6MB, time=158.30 NO POLE NO POLE x[1] = 0.986 y1[1] (analytic) = 1.5520295660653543891145303406393 y1[1] (numeric) = 1.5520295660653543655626271434765 absolute error = 2.35519031971628e-17 relative error = 1.5174906272482088315250354206304e-15 % h = 0.001 y2[1] (analytic) = 1.8338245368119701320580081203051 y2[1] (numeric) = 1.8338245368119700960001757722418 absolute error = 3.60578323480633e-17 relative error = 1.9662640358574536659727140508238e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.987 y1[1] (analytic) = 1.5511954656527531367232211713211 y1[1] (numeric) = 1.5511954656527531131808460035411 absolute error = 2.35423751677800e-17 relative error = 1.5176923662469072183314070687481e-15 % h = 0.001 y2[1] (analytic) = 1.8343761493737969000726195736126 y2[1] (numeric) = 1.8343761493737968639505294655551 absolute error = 3.61220901080575e-17 relative error = 1.9691757396861346853497031480698e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1541.1MB, alloc=4.6MB, time=158.91 NO POLE NO POLE x[1] = 0.988 y1[1] (analytic) = 1.5503608140447321645327152430547 y1[1] (numeric) = 1.5503608140447321409999730947965 absolute error = 2.35327421482582e-17 relative error = 1.5178880899900773551261306444429e-15 % h = 0.001 y2[1] (analytic) = 1.8349269275595438256337943925575 y2[1] (numeric) = 1.834926927559543789447429563456 absolute error = 3.61863648291015e-17 relative error = 1.9720875139823377870903541022453e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.989 y1[1] (analytic) = 1.5495256120759430110096863964084 y1[1] (numeric) = 1.5495256120759429874866823012202 absolute error = 2.35230040951882e-17 relative error = 1.5180777853470760198275616910556e-15 % h = 0.001 y2[1] (analytic) = 1.8354768708184327688927876316028 y2[1] (numeric) = 1.8354768708184327326421312661564 absolute error = 3.62506563654464e-17 relative error = 1.9749993553055429181604527802668e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1544.9MB, alloc=4.6MB, time=159.52 NO POLE NO POLE x[1] = 0.99 y1[1] (analytic) = 1.5486898605815875753431264086536 y1[1] (numeric) = 1.5486898605815875518299654433067 absolute error = 2.35131609653469e-17 relative error = 1.5182614391571518463119700536952e-15 % h = 0.001 y2[1] (analytic) = 1.8360259786005205167892594115471 y2[1] (numeric) = 1.8360259786005204804742948402737 absolute error = 3.63149645712734e-17 relative error = 1.9779112602183255752661228280033e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.991 y1[1] (analytic) = 1.5478535603974172822425154049293 y1[1] (numeric) = 1.547853560397417258739302689231 absolute error = 2.35032127156983e-17 relative error = 1.5184390382294149868905731271137e-15 % h = 0.001 y2[1] (analytic) = 1.8365742503566993329944421512648 y2[1] (numeric) = 1.8365742503566992966151528505708 absolute error = 3.63792893006940e-17 relative error = 1.9808232252863404116443768919295e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1548.7MB, alloc=4.6MB, time=160.12 NO POLE NO POLE x[1] = 0.992 y1[1] (analytic) = 1.5470167123597322461864667947115 y1[1] (numeric) = 1.5470167123597322226933074913186 absolute error = 2.34931593033929e-17 relative error = 1.5186105693427032666779880041051e-15 % h = 0.001 y2[1] (analytic) = 1.8371216855386975070188311374976 y2[1] (numeric) = 1.8371216855386974705752007297471 absolute error = 3.64436304077505e-17 relative error = 1.9837352470783211988559828823938e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.993 y1[1] (analytic) = 1.5461793173053804351226824848735 y1[1] (numeric) = 1.5461793173053804116396817991055 absolute error = 2.34830006857680e-17 relative error = 1.5187760192455061267572962568664e-15 % h = 0.001 y2[1] (analytic) = 1.8376682835990799024838493250508 y2[1] (numeric) = 1.837668283599079865975861578635 absolute error = 3.65079877464158e-17 relative error = 1.9866473221660426926827287196510e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.994 y1[1] (analytic) = 1.5453413760717568336200546693127 y1[1] (numeric) = 1.545341376071756810147317848965 absolute error = 2.34727368203477e-17 relative error = 1.5189353746558689224154983149980e-15 % h = 0.001 y2[1] (analytic) = 1.8382140439912485045569380957782 y2[1] (numeric) = 1.8382140439912484679845769251839 absolute error = 3.65723611705943e-17 relative error = 1.9895594471243424035308966685972e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1552.6MB, alloc=4.6MB, time=160.73 NO POLE NO POLE x[1] = 0.995 y1[1] (analytic) = 1.5445028894968026054737510429714 y1[1] (numeric) = 1.5445028894968025820113833781279 absolute error = 2.34623676648435e-17 relative error = 1.5190886222613357730760693824729e-15 % h = 0.001 y2[1] (analytic) = 1.8387589661694429665495265413068 y2[1] (numeric) = 1.8387589661694429299127760071853 absolute error = 3.66367505341215e-17 relative error = 1.9924716185310716239848690552573e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.996 y1[1] (analytic) = 1.5436638584190042557641208350967 y1[1] (numeric) = 1.5436638584190042323122276579432 absolute error = 2.34518931771535e-17 relative error = 1.5192357487188015486839439001629e-15 % h = 0.001 y2[1] (analytic) = 1.8393030495887411556773326715804 y2[1] (numeric) = 1.8393030495887411189761769808162 absolute error = 3.67011556907642e-17 relative error = 1.9953838329670791602972523946369e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1556.4MB, alloc=4.6MB, time=161.33 NO POLE NO POLE x[1] = 0.997 y1[1] (analytic) = 1.5428242836773927923702596027651 y1[1] (numeric) = 1.5428242836773927689289462874015 absolute error = 2.34413133153636e-17 relative error = 1.5193767406544930217342380501135e-15 % h = 0.001 y2[1] (analytic) = 1.839846293705059697982450788966 y2[1] (numeric) = 1.8398462937050596612168742947446 absolute error = 3.67655764942214e-17 relative error = 1.9982960870162331350844108064952e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.998 y1[1] (analytic) = 1.5419841661115428869390712710343 y1[1] (numeric) = 1.541984166111542863508443233288 absolute error = 2.34306280377463e-17 relative error = 1.5195115846637943304984866916618e-15 % h = 0.001 y2[1] (analytic) = 1.8403886979751545224166801058793 y2[1] (numeric) = 1.8403886979751544855866673077553 absolute error = 3.68300127981240e-17 relative error = 2.0012083772653775435632994304526e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1560.2MB, alloc=4.6MB, time=161.93 NO POLE NO POLE x[1] = 0.999 y1[1] (analytic) = 1.5411435065615720353106664505939 y1[1] (numeric) = 1.5411435065615720118908291478318 absolute error = 2.34198373027621e-17 relative error = 1.5196402673112405939346581480935e-15 % h = 0.001 y2[1] (analytic) = 1.8409302618566214040855505226477 y2[1] (numeric) = 1.8409302618566213671910860666128 absolute error = 3.68944644560349e-17 relative error = 2.0041207003043106105736422810414e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1 y1[1] (analytic) = 1.540302305868139717400936607443 y1[1] (numeric) = 1.5403023058681396939919955383844 absolute error = 2.34089410690586e-17 relative error = 1.5197627751303622011276962864940e-15 % h = 0.001 y2[1] (analytic) = 1.8414709848078965066525023216303 y2[1] (numeric) = 1.8414709848078964696935710001806 absolute error = 3.69589313214497e-17 relative error = 2.0070330527257957641360924639975e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1564.0MB, alloc=4.6MB, time=162.56 NO POLE NO POLE x[1] = 1.001 y1[1] (analytic) = 1.5394605648724465565421442019536 y1[1] (numeric) = 1.5394605648724465331442049064823 absolute error = 2.33979392954713e-17 relative error = 1.5198790946236390356376900138314e-15 % h = 0.001 y2[1] (analytic) = 1.8420108662882569239026773734589 y2[1] (numeric) = 1.8420108662882568868792641256623 absolute error = 3.70234132477966e-17 relative error = 2.0099454311255291546209121420992e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.002 y1[1] (analytic) = 1.5386182844162334782823694566573 y1[1] (numeric) = 1.5386182844162334548955375156344 absolute error = 2.33868319410229e-17 relative error = 1.5199892122623570767526121101742e-15 % h = 0.001 y2[1] (analytic) = 1.842549905757821220465780291656 y2[1] (numeric) = 1.8425499057578211833778702032191 absolute error = 3.70879100884369e-17 relative error = 2.0128578321021397903750410230266e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1567.8MB, alloc=4.6MB, time=163.16 NO POLE NO POLE x[1] = 1.003 y1[1] (analytic) = 1.5377754653417808686446549532403 y1[1] (numeric) = 1.5377754653417808452690359883159 absolute error = 2.33756189649244e-17 relative error = 1.5200931144865815991608483693981e-15 % h = 0.001 y2[1] (analytic) = 1.8430881026775499716974688128113 y2[1] (numeric) = 1.8430881026775499345450471161467 absolute error = 3.71524216966646e-17 relative error = 2.0157702522571408377712888388463e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.004 y1[1] (analytic) = 1.5369321084919077318466897995304 y1[1] (numeric) = 1.5369321084919077084823894729561 absolute error = 2.33643003265743e-17 relative error = 1.5201907877050066792187787606528e-15 % h = 0.001 y2[1] (analytic) = 1.8436254565092463027187335209743 y2[1] (numeric) = 1.8436254565092462655017855952667 absolute error = 3.72169479257076e-17 relative error = 2.0186826881949677877925757404172e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.005 y1[1] (analytic) = 1.5360882147099708474818756467225 y1[1] (numeric) = 1.5360882147099708241289996611633 absolute error = 2.33528759855592e-17 relative error = 1.5202822182948953640403019624200e-15 % h = 0.001 y2[1] (analytic) = 1.844161966715556426612727876925 y2[1] (numeric) = 1.8441619667155563893312392481979 absolute error = 3.72814886287271e-17 relative error = 2.0215951365229189462917219472144e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1571.6MB, alloc=4.6MB, time=163.78 NO POLE NO POLE x[1] = 1.006 y1[1] (analytic) = 1.5352437848398639271626173757064 y1[1] (numeric) = 1.5352437848398639038212714740527 absolute error = 2.33413459016537e-17 relative error = 1.5203673926019740659762978447614e-15 % h = 0.001 y2[1] (analytic) = 1.8446976327599701817785103555398 y2[1] (numeric) = 1.8446976327599701444324666967217 absolute error = 3.73460436588181e-17 relative error = 2.0245075938511556542665755553405e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.007 y1[1] (analytic) = 1.5343988197260167706266818091356 y1[1] (numeric) = 1.5343988197260167472969717743151 absolute error = 2.33297100348205e-17 relative error = 1.5204462969403396611869248841113e-15 % h = 0.001 y2[1] (analytic) = 1.8452324541068215684411613375549 y2[1] (numeric) = 1.8452324541068215310305484685449 absolute error = 3.74106128690100e-17 relative error = 2.0274200567927079227733627021298e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1575.4MB, alloc=4.6MB, time=164.39 NO POLE NO POLE x[1] = 1.008 y1[1] (analytic) = 1.5335533202133944213074683428077 y1[1] (numeric) = 1.5335533202133943979894999975972 absolute error = 2.33179683452105e-17 relative error = 1.5205189175923662996558338432374e-15 % h = 0.001 y2[1] (analytic) = 1.8457664302212892843177382456532 y2[1] (numeric) = 1.8457664302212892468425421333871 absolute error = 3.74751961122661e-17 relative error = 2.0303325219634204579653592025967e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.009 y1[1] (analytic) = 1.532707287147496321369035926017 y1[1] (numeric) = 1.5327072871474962980629151328539 absolute error = 2.33061207931631e-17 relative error = 1.5205852408086249743605989450636e-15 % h = 0.001 y2[1] (analytic) = 1.8462995605693972594385332589671 y2[1] (numeric) = 1.8462995605693972218987400174828 absolute error = 3.75397932414843e-17 relative error = 2.0332449859819637703941882842235e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1579.3MB, alloc=4.6MB, time=164.99 NO POLE NO POLE x[1] = 1.01 y1[1] (analytic) = 1.5318607213743554662067313557792 y1[1] (numeric) = 1.5318607213743554429125640165734 absolute error = 2.32941673392058e-17 relative error = 1.5206452528077571469045449923013e-15 % h = 0.001 y2[1] (analytic) = 1.846831844618015190123098784782 y2[1] (numeric) = 1.8468318446180151525186946752845 absolute error = 3.76044041094975e-17 relative error = 2.0361574454698290166678545065386e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.011 y1[1] (analytic) = 1.5310136237405375584142643842326 y1[1] (numeric) = 1.5310136237405375351321564401776 absolute error = 2.32821079440550e-17 relative error = 1.5206989397764263525791009587931e-15 % h = 0.001 y2[1] (analytic) = 1.8473632818348590721105067114598 y2[1] (numeric) = 1.8473632818348590344414781423865 absolute error = 3.76690285690733e-17 relative error = 2.0390698970512849539414970098591e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1583.1MB, alloc=4.6MB, time=165.59 NO POLE NO POLE x[1] = 1.012 y1[1] (analytic) = 1.5301659950931401612180756720674 y1[1] (numeric) = 1.5301659950931401379481331034521 absolute error = 2.32699425686153e-17 relative error = 1.5207462878691716355754430669823e-15 % h = 0.001 y2[1] (analytic) = 1.8478938716884917328433083123683 y2[1] (numeric) = 1.8478938716884916951096418394535 absolute error = 3.77336664729148e-17 relative error = 2.0419823373533944916256137371983e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.013 y1[1] (analytic) = 1.5293178362797918513798441535466 y1[1] (numeric) = 1.5293178362797918281221729795664 absolute error = 2.32576711739802e-17 relative error = 1.5207872832083520606217606422948e-15 % h = 0.001 y2[1] (analytic) = 1.8484236136483233629046625169003 y2[1] (numeric) = 1.84842361364832332510634484324 absolute error = 3.77983176736603e-17 relative error = 2.0448947630059717000930974139322e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1586.9MB, alloc=4.6MB, time=166.20 NO POLE NO POLE x[1] = 1.014 y1[1] (analytic) = 1.5284691481486513715679809105391 y1[1] (numeric) = 1.5284691481486513483226871891073 absolute error = 2.32452937214318e-17 relative error = 1.5208219118840256348359087599345e-15 % h = 0.001 y2[1] (analytic) = 1.8489525071846120466081011114986 y2[1] (numeric) = 1.8489525071846120087451190876148 absolute error = 3.78629820238838e-17 relative error = 2.0478071706415821567498556461101e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.015 y1[1] (analytic) = 1.527619931548406782198957184002 y1[1] (numeric) = 1.5276199315484067589661470115606 absolute error = 2.32328101724414e-17 relative error = 1.5208501599538867613615337332856e-15 % h = 0.001 y2[1] (analytic) = 1.8494805517684642917394002809662 y2[1] (numeric) = 1.849480551768464253811740904871 absolute error = 3.79276593760952e-17 relative error = 2.0507195568955270663747261083340e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.016 y1[1] (analytic) = 1.5267701873282746127493146815114 y1[1] (numeric) = 1.5267701873282745895290941928426 absolute error = 2.32202204886688e-17 relative error = 1.5208720134431183576324901140511e-15 % h = 0.001 y2[1] (analytic) = 1.850007746871835558450028748234 y2[1] (numeric) = 1.8500077468718355204576791654933 absolute error = 3.79923495827407e-17 relative error = 2.0536319184058382151043394429675e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1590.7MB, alloc=4.6MB, time=166.80 NO POLE NO POLE x[1] = 1.017 y1[1] (analytic) = 1.5259199163379990125392068687629 y1[1] (numeric) = 1.5259199163379989893316822367998 absolute error = 2.32075246319631e-17 relative error = 1.5208874583443418015499237714460e-15 % h = 0.001 y2[1] (analytic) = 1.8505340919675307873016436191816 y2[1] (numeric) = 1.8505340919675307492445911229789 absolute error = 3.80570524962027e-17 relative error = 2.0565442518132459095142714433890e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.018 y1[1] (analytic) = 1.5250691194278509009883204614282 y1[1] (numeric) = 1.5250691194278508777935978970657 absolute error = 2.31947225643625e-17 relative error = 1.5208964806175011602591085324597e-15 % h = 0.001 y2[1] (analytic) = 1.8510595865292049264611058880601 y2[1] (numeric) = 1.8510595865292048883393379192598 absolute error = 3.81217679688003e-17 relative error = 2.0594565537611793799472927941818e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1594.5MB, alloc=4.6MB, time=167.41 NO POLE NO POLE x[1] = 1.019 y1[1] (analytic) = 1.5242177974486271173450268613758 y1[1] (numeric) = 1.5242177974486270941632126132814 absolute error = 2.31818142480944e-17 relative error = 1.5208990661897667346043603135249e-15 % h = 0.001 y2[1] (analytic) = 1.8515842300313634580454884085451 y2[1] (numeric) = 1.8515842300313634198589925557558 absolute error = 3.81864958527893e-17 relative error = 2.0623688208957401748941840227005e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.02 y1[1] (analytic) = 1.5233659512516495698896138080338 y1[1] (numeric) = 1.5233659512516495467208141624583 absolute error = 2.31687996455755e-17 relative error = 1.5208952009554383015302054574223e-15 % h = 0.001 y2[1] (analytic) = 1.8521080219493629236165499854554 y2[1] (numeric) = 1.8521080219493628853653139850928 absolute error = 3.82512360003626e-17 relative error = 2.0652810498656971932684286743931e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1598.3MB, alloc=4.6MB, time=168.01 NO POLE NO POLE x[1] = 1.021 y1[1] (analytic) = 1.5225135816887643846124480415924 y1[1] (numeric) = 1.5225135816887643614567693221806 absolute error = 2.31556787194118e-17 relative error = 1.5208848707758414851957205475813e-15 % h = 0.001 y2[1] (analytic) = 1.8526309617594114488241500927072 y2[1] (numeric) = 1.8526309617594114105081618290568 absolute error = 3.83159882636504e-17 relative error = 2.0681932373224709252803171000332e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.022 y1[1] (analytic) = 1.5216606896123410533679202998119 y1[1] (numeric) = 1.5216606896123410302254688674128 absolute error = 2.31424514323991e-17 relative error = 1.5208680614792566604841593602528e-15 % h = 0.001 y2[1] (analytic) = 1.8531530489385692671980795741338 y2[1] (numeric) = 1.8531530489385692288173270794133 absolute error = 3.83807524947205e-17 relative error = 2.0711053799201231118598736809304e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1602.2MB, alloc=4.6MB, time=168.62 NO POLE NO POLE x[1] = 1.023 y1[1] (analytic) = 1.5208072758752715815050244944202 y1[1] (numeric) = 1.5208072758752715583759067468979 absolute error = 2.31291177475223e-17 relative error = 1.5208447588607687339530298708772e-15 % h = 0.001 y2[1] (analytic) = 1.8536742829647492430877835353817 y2[1] (numeric) = 1.8536742829647492046422549898033 absolute error = 3.84455285455784e-17 relative error = 2.0740174743153356278281922149595e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.024 y1[1] (analytic) = 1.5199533413309696349754234364508 y1[1] (numeric) = 1.5199533413309696118597458084946 absolute error = 2.31156776279562e-17 relative error = 1.5208149486822151283191790643405e-15 % h = 0.001 y2[1] (analytic) = 1.854194663316717393749453487206 y2[1] (numeric) = 1.8541946633167173552391372190385 absolute error = 3.85103162681675e-17 relative error = 2.0769295171673947895089113997427e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1606.0MB, alloc=4.6MB, time=169.25 NO POLE NO POLE x[1] = 1.025 y1[1] (analytic) = 1.5190988868333696869198540023831 y1[1] (numeric) = 1.5190988868333696638177229653176 absolute error = 2.31021310370655e-17 relative error = 1.5207786166720809512525567314540e-15 % h = 0.001 y2[1] (analytic) = 1.8547141894740934105799666531149 y2[1] (numeric) = 1.8547141894740933720048511387456 absolute error = 3.85751155143693e-17 relative error = 2.0798415051381756843632315856924e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.026 y1[1] (analytic) = 1.5182439132369261637337251546087 y1[1] (numeric) = 1.5182439132369261406452472162044 absolute error = 2.30884779384043e-17 relative error = 1.5207357485253609003266600032070e-15 % h = 0.001 y2[1] (analytic) = 1.8552328609173511794971512074687 y2[1] (numeric) = 1.8552328609173511408572250714644 absolute error = 3.86399261360043e-17 relative error = 2.0827534348921642536559696333919e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.027 y1[1] (analytic) = 1.5173884213966125906127627505561 y1[1] (numeric) = 1.5173884213966125675380444548392 absolute error = 2.30747182957169e-17 relative error = 1.5206863299035063977119645750066e-15 % h = 0.001 y2[1] (analytic) = 1.8557506771278193004658570638093 y2[1] (numeric) = 1.8557506771278192617611090789784 absolute error = 3.87047479848309e-17 relative error = 2.0856653030963715606675282060997e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1609.8MB, alloc=4.6MB, time=169.84 NO POLE NO POLE x[1] = 1.028 y1[1] (analytic) = 1.5165324121679207365795555947563 y1[1] (numeric) = 1.5165324121679207135187035218185 absolute error = 2.30608520729378e-17 relative error = 1.5206303464343198173343915420263e-15 % h = 0.001 y2[1] (analytic) = 1.8562676375876816061693126873962 y2[1] (numeric) = 1.8562676375876815673997317748492 absolute error = 3.87695809125470e-17 relative error = 2.0885771064203936511825355630001e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.029 y1[1] (analytic) = 1.5156758864068597589918577072318 y1[1] (numeric) = 1.5156758864068597359449784730407 absolute error = 2.30468792341911e-17 relative error = 1.5205677837118087910176267447072e-15 % h = 0.001 y2[1] (analytic) = 1.8567837417799776798252492606312 y2[1] (numeric) = 1.8567837417799776409908244898418 absolute error = 3.88344247707894e-17 relative error = 2.0914888415363528250531342353529e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1613.6MB, alloc=4.6MB, time=170.46 NO POLE NO POLE x[1] = 1.03 y1[1] (analytic) = 1.5148188449699553475335022998374 y1[1] (numeric) = 1.5148188449699553245007025560459 absolute error = 2.30327997437915e-17 relative error = 1.5204986272961456673935816465580e-15 % h = 0.001 y2[1] (analytic) = 1.8572989891886033721462743852944 y2[1] (numeric) = 1.8572989891886033332469949741603 absolute error = 3.88992794111341e-17 relative error = 2.0944005051188874588407571775874e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.031 y1[1] (analytic) = 1.5139612887142488676887834695646 y1[1] (numeric) = 1.513961288714248844670169903321 absolute error = 2.30186135662436e-17 relative error = 1.5204228627135145690057654492117e-15 % h = 0.001 y2[1] (analytic) = 1.8578133792983113174439783612591 y2[1] (numeric) = 1.8578133792983112784798336761619 absolute error = 3.89641446850972e-17 relative error = 2.0973120938451741369410481151673e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1617.4MB, alloc=4.6MB, time=171.07 NO POLE NO POLE x[1] = 1.032 y1[1] (analytic) = 1.5131032184972965037011621343598 y1[1] (numeric) = 1.5131032184972964806968414681171 absolute error = 2.30043206662427e-17 relative error = 1.5203404754560570877857589140039e-15 % h = 0.001 y2[1] (analytic) = 1.8583269115947114488762569376219 y2[1] (numeric) = 1.8583269115947114098472364934878 absolute error = 3.90290204441341e-17 relative error = 2.1002236043948582614408575261037e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.033 y1[1] (analytic) = 1.5122446351771684010171532526755 y1[1] (numeric) = 1.5122446351771683780272322440013 absolute error = 2.29899210086742e-17 relative error = 1.5202514509817252426791122993564e-15 % h = 0.001 y2[1] (analytic) = 1.85883958556427151283733528897 y2[1] (numeric) = 1.8588395855642714737434287493294 absolute error = 3.90939065396406e-17 relative error = 2.1031350334500869869165819698122e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1621.2MB, alloc=4.6MB, time=171.67 NO POLE NO POLE x[1] = 1.034 y1[1] (analytic) = 1.5113855396124478082162518827991 y1[1] (numeric) = 1.5113855396124477852408373241849 absolute error = 2.29754145586142e-17 relative error = 1.5201557747142133583884989479053e-15 % h = 0.001 y2[1] (analytic) = 1.8593514006943175824899788268026 y2[1] (numeric) = 1.85935140069431754333117600385 absolute error = 3.91588028229526e-17 relative error = 2.1060463776954668011795439124141e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.035 y1[1] (analytic) = 1.510525932662230218427756151959 y1[1] (numeric) = 1.5105259326622301954669548706297 absolute error = 2.29608012813293e-17 relative error = 1.5200534320428367751295327051723e-15 % h = 0.001 y2[1] (analytic) = 1.8598623564730345704393773139402 y2[1] (numeric) = 1.8598623564730345312156681685934 absolute error = 3.92237091453468e-17 relative error = 2.1089576338180749390962033765665e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1625.0MB, alloc=4.6MB, time=172.30 NO POLE NO POLE x[1] = 1.036 y1[1] (analytic) = 1.5096658151861225102353457183156 y1[1] (numeric) = 1.5096658151861224872892645760386 absolute error = 2.29460811422770e-17 relative error = 1.5199444083224499133967926035292e-15 % h = 0.001 y2[1] (analytic) = 1.8603724523894667405481896080782 y2[1] (numeric) = 1.8603724523894667012595642500379 absolute error = 3.92886253580403e-17 relative error = 2.1118687985074116452138783829584e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.037 y1[1] (analytic) = 1.5088051880442420880702748211855 y1[1] (numeric) = 1.5088051880442420651390207140802 absolute error = 2.29312541071053e-17 relative error = 1.5198286888733110621403408521381e-15 % h = 0.001 y2[1] (analytic) = 1.8608816879335182188922372194854 y2[1] (numeric) = 1.860881687933518179538685907294 absolute error = 3.93535513121914e-17 relative error = 2.1147798684554169960243901329607e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1628.9MB, alloc=4.6MB, time=172.90 x[1] = 1.038 y1[1] (analytic) = 1.5079440520972160220940395262352 y1[1] (numeric) = 1.5079440520972159991777193845821 absolute error = 2.29163201416531e-17 relative error = 1.5197062589809997823118526223475e-15 % h = 0.001 y2[1] (analytic) = 1.8613900625959535038563357271943 y2[1] (numeric) = 1.8613900625959534644378488682946 absolute error = 3.94184868588997e-17 relative error = 2.1176908403564500838111305432331e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.039 y1[1] (analytic) = 1.5070824082061801875713792829054 y1[1] (numeric) = 1.5070824082061801646701000709552 absolute error = 2.29012792119502e-17 relative error = 1.5195771038963075121300772376847e-15 % h = 0.001 y2[1] (analytic) = 1.861897575868397975369753957895 y2[1] (numeric) = 1.8618975758683979358863221086888 absolute error = 3.94834318492062e-17 relative error = 2.1206017109072682301992320820259e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.04 y1[1] (analytic) = 1.5062202572327784037344734209922 y1[1] (numeric) = 1.5062202572327783808483421367745 absolute error = 2.28861312842177e-17 relative error = 1.5194412088351543799739071564761e-15 % h = 0.001 y2[1] (analytic) = 1.8624042272433384032807916921162 y2[1] (numeric) = 1.8624042272433383637324055580227 absolute error = 3.95483861340935e-17 relative error = 2.1235124768070115986409552950353e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1632.7MB, alloc=4.6MB, time=173.50 NO POLE NO POLE x[1] = 1.041 y1[1] (analytic) = 1.5053576000391615721391937221164 y1[1] (numeric) = 1.5053576000391615492683173972491 absolute error = 2.28708763248673e-17 relative error = 1.5192985589784326859489021349424e-15 % h = 0.001 y2[1] (analytic) = 1.8629100162141234548699675231574 y2[1] (numeric) = 1.8629100162141234152566179586713 absolute error = 3.96133495644861e-17 relative error = 2.1264231347571931954604742830012e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.042 y1[1] (analytic) = 1.5044944374879868145142747097584 y1[1] (numeric) = 1.5044944374879867916587604092561 absolute error = 2.28555143005023e-17 relative error = 1.5191491394719628668570312669720e-15 % h = 0.001 y2[1] (analytic) = 1.863414942274964201501309355628 y2[1] (numeric) = 1.863414942274964161822987364377 absolute error = 3.96783219912510e-17 relative error = 2.1293336814617049821569150440530e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1636.5MB, alloc=4.6MB, time=174.11 NO POLE NO POLE x[1] = 1.043 y1[1] (analytic) = 1.5036307704424166101042638086145 y1[1] (numeric) = 1.5036307704424165872642186306973 absolute error = 2.28400451779172e-17 relative error = 1.5189929354263562288874592423093e-15 % h = 0.001 y2[1] (analytic) = 1.8639190049209346244112408923424 y2[1] (numeric) = 1.8639190049209345846679376271454 absolute error = 3.97433032651970e-17 relative error = 2.1322441136267542278162564658770e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.044 y1[1] (analytic) = 1.5027665997661179325071140302536 y1[1] (numeric) = 1.502766599766117909682645106156 absolute error = 2.28244689240976e-17 relative error = 1.5188299319168971979060508483124e-15 % h = 0.001 y2[1] (analytic) = 1.8644222036479721196345583207306 y2[1] (numeric) = 1.8644222036479720798262650836543 absolute error = 3.98082932370763e-17 relative error = 2.1351544279609233228848474816015e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1640.3MB, alloc=4.6MB, time=174.71 NO POLE NO POLE x[1] = 1.045 y1[1] (analytic) = 1.5019019263232613860072823474097 y1[1] (numeric) = 1.501901926323261363198496841189 absolute error = 2.28087855062207e-17 relative error = 1.5186601139834651405059371813137e-15 % h = 0.001 y2[1] (analytic) = 1.8649245379528780020669922728253 y2[1] (numeric) = 1.8649245379528779621937005152422 absolute error = 3.98732917575831e-17 relative error = 2.1380646211750686271787628401509e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.046 y1[1] (analytic) = 1.5010367509785203414051974237396 y1[1] (numeric) = 1.5010367509785203186122025320845 absolute error = 2.27929948916551e-17 relative error = 1.5184834666304093086426192920777e-15 % h = 0.001 y2[1] (analytic) = 1.8654260073333180086638509963099 y2[1] (numeric) = 1.8654260073333179687255523189544 absolute error = 3.99382986773555e-17 relative error = 2.1409746899823963801612003056411e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1644.1MB, alloc=4.6MB, time=175.32 NO POLE NO POLE x[1] = 1.047 y1[1] (analytic) = 1.500171074597070071343960869506 y1[1] (numeric) = 1.5001710745970700485668638215448 absolute error = 2.27770970479612e-17 relative error = 1.5182999748264633755422146742271e-15 % h = 0.001 y2[1] (analytic) = 1.8659266112878228007742415380223 y2[1] (numeric) = 1.865926611287822760770927691048 absolute error = 4.00033138469743e-17 relative error = 2.1438846310983723469392199270893e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.048 y1[1] (analytic) = 1.4993048980445868851341466964129 y1[1] (numeric) = 1.499304898044586862373054753522 absolute error = 2.27610919428909e-17 relative error = 1.5181096235046130160749712509090e-15 % h = 0.001 y2[1] (analytic) = 1.8664263493157884656103666057382 y2[1] (numeric) = 1.8664263493157884255420294887739 absolute error = 4.00683371169643e-17 relative error = 2.1467944412407655510545486383346e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1647.9MB, alloc=4.6MB, time=175.92 x[1] = 1.049 y1[1] (analytic) = 1.4984382221872472630775641467215 y1[1] (numeric) = 1.4984382221872472403325846023336 absolute error = 2.27449795443879e-17 relative error = 1.5179123975620030986936553644967e-15 % h = 0.001 y2[1] (analytic) = 1.8669252209174770168513956389767 y2[1] (numeric) = 1.8669252209174769767180273011829 absolute error = 4.01333683377938e-17 relative error = 2.1497041171295955172231137941116e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.05 y1[1] (analytic) = 1.4975710478917269902908495728121 y1[1] (numeric) = 1.4975710478917269675620897522244 absolute error = 2.27287598205877e-17 relative error = 1.5177082818598245520685752445797e-15 % h = 0.001 y2[1] (analytic) = 1.8674232255940168943814094850003 y2[1] (numeric) = 1.867423225594016854183002125125 absolute error = 4.01984073598753e-17 relative error = 2.1526136554871438538334091273127e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.051 y1[1] (analytic) = 1.4967033760252002900297535435273 y1[1] (numeric) = 1.4967033760252002673173208037097 absolute error = 2.27124327398176e-17 relative error = 1.5174972612232008681577388668761e-15 % h = 0.001 y2[1] (analytic) = 1.8679203628474034631609189421053 y2[1] (numeric) = 1.8679203628474034228974649085399 absolute error = 4.02634540335654e-17 relative error = 2.1555230530379229839630962295190e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1651.7MB, alloc=4.6MB, time=176.53 NO POLE NO POLE x[1] = 1.052 y1[1] (analytic) = 1.4958352074553389565149898529376 y1[1] (numeric) = 1.4958352074553389338189915823406 absolute error = 2.26959982705970e-17 relative error = 1.5172793204410942959497938930952e-15 % h = 0.001 y2[1] (analytic) = 1.8684166321804995112314582987262 y2[1] (numeric) = 1.8684166321804994709029500895608 absolute error = 4.03285082091654e-17 relative error = 2.1584323065086823866642788707378e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.053 y1[1] (analytic) = 1.4949665430503114872605136056084 y1[1] (numeric) = 1.4949665430503114645810572239709 absolute error = 2.26794563816375e-17 relative error = 1.5170544442661983604363483159699e-15 % h = 0.001 y2[1] (analytic) = 1.8689120330970357468527558638018 y2[1] (numeric) = 1.8689120330970357064591861268805 absolute error = 4.03935697369213e-17 relative error = 2.1613414126283827195101667466990e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1655.6MB, alloc=4.6MB, time=177.13 NO POLE NO POLE x[1] = 1.054 y1[1] (analytic) = 1.4940973836787822149050960500167 y1[1] (numeric) = 1.4940973836787821922422890081742 absolute error = 2.26628070418425e-17 relative error = 1.5168226174147965722881125391172e-15 % h = 0.001 y2[1] (analytic) = 1.8694065651016112947719843512738 y2[1] (numeric) = 1.8694065651016112543133458842499 absolute error = 4.04586384670239e-17 relative error = 2.1642503681281753270636194276576e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.055 y1[1] (analytic) = 1.4932277302099104385480643284723 y1[1] (numeric) = 1.4932277302099104159020141081643 absolute error = 2.26460502203080e-17 relative error = 1.5165838245667010378184599676255e-15 % h = 0.001 y2[1] (analytic) = 1.8699002276996941916245948495095 y2[1] (numeric) = 1.8699002276996941511008805999 absolute error = 4.05237142496095e-17 relative error = 2.1671591697414138645408877697121e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1659.4MB, alloc=4.6MB, time=177.74 NO POLE NO POLE x[1] = 1.056 y1[1] (analytic) = 1.4923575835133495545900748077295 y1[1] (numeric) = 1.4923575835133495319608889214075 absolute error = 2.26291858863220e-17 relative error = 1.5163380503650970742158215014494e-15 % h = 0.001 y2[1] (analytic) = 1.8703930203976218804662389748547 y2[1] (numeric) = 1.8703930203976218398774420400953 absolute error = 4.05887969347594e-17 relative error = 2.1700678142036017408667954609699e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.057 y1[1] (analytic) = 1.491486944459246187079789149445 y1[1] (numeric) = 1.49148694445924616446757514008 absolute error = 2.26122140093650e-17 relative error = 1.5160852794164610643351320655204e-15 % h = 0.001 y2[1] (analytic) = 1.8708849427026017044352846774374 y2[1] (numeric) = 1.8708849427026016637813983049365 absolute error = 4.06538863725009e-17 relative error = 2.1729762982524198161782919133494e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1663.2MB, alloc=4.6MB, time=178.34 NO POLE NO POLE x[1] = 1.058 y1[1] (analytic) = 1.4906158139182393175673227737323 y1[1] (numeric) = 1.4906158139182392949721882146223 absolute error = 2.25951345591100e-17 relative error = 1.5158254962904445122340278516891e-15 % h = 0.001 y2[1] (analytic) = 1.8713759941227113995454320367466 y2[1] (numeric) = 1.8713759941227113588264496239394 absolute error = 4.07189824128072e-17 relative error = 2.1758846186276952707339350821655e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.059 y1[1] (analytic) = 1.4897441927614594144653358622922 y1[1] (numeric) = 1.4897441927614593918873883568698 absolute error = 2.25779475054224e-17 relative error = 1.5155586855197510115456629358967e-15 % h = 0.001 y2[1] (analytic) = 1.871866174166899586607936254411 y2[1] (numeric) = 1.8718661741668995458238513488135 absolute error = 4.07840849055975e-17 relative error = 2.1787927720713812028300090419865e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1667.0MB, alloc=4.6MB, time=178.95 NO POLE NO POLE x[1] = 1.06 y1[1] (analytic) = 1.4888720818605275619186375399564 y1[1] (numeric) = 1.4888720818605275393579847215959 absolute error = 2.25606528183605e-17 relative error = 1.5152848316000531131263203779940e-15 % h = 0.001 y2[1] (analytic) = 1.8723554823449862622829459219974 y2[1] (numeric) = 1.87235548234498622143375222126 absolute error = 4.08491937007374e-17 relative error = 2.1817007553275522767421084318958e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.061 y1[1] (analytic) = 1.4879994820875545881831743649656 y1[1] (numeric) = 1.4879994820875545656399238967907 absolute error = 2.25432504681749e-17 relative error = 1.5150039189898350084082554397485e-15 % h = 0.001 y2[1] (analytic) = 1.8728439181676632892594655125299 y2[1] (numeric) = 1.8728439181676632483451568644906 absolute error = 4.09143086480393e-17 relative error = 2.1846085651424003728557500748978e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.062 y1[1] (analytic) = 1.4871263943151401935152747489234 y1[1] (numeric) = 1.4871263943151401709895343236142 absolute error = 2.25257404253092e-17 relative error = 1.5147159321103221089317061248330e-15 % h = 0.001 y2[1] (analytic) = 1.8733314811464948855634519158083 y2[1] (numeric) = 1.8733314811464948445840223185461 absolute error = 4.09794295972622e-17 relative error = 2.1875161982641982115214818677423e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1670.8MB, alloc=4.6MB, time=179.55 NO POLE NO POLE x[1] = 1.063 y1[1] (analytic) = 1.486252819416372077572021417107 y1[1] (numeric) = 1.4862528194163720550638987567071 absolute error = 2.25081226603999e-17 relative error = 1.5144208553453565844112664138012e-15 % h = 0.001 y2[1] (analytic) = 1.8738181707939181129935557094709 y2[1] (numeric) = 1.8738181707939180719489993113587 absolute error = 4.10445563981122e-17 relative error = 2.1904236514433003859652406708566e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.064 y1[1] (analytic) = 1.4853787582648250663236245086903 y1[1] (numeric) = 1.485378758264825043833227364414 absolute error = 2.24903971442763e-17 relative error = 1.5141186730412724954223471391625e-15 % h = 0.001 y2[1] (analytic) = 1.8743039866232433646840187301006 y2[1] (numeric) = 1.8743039866232433235743298298576 absolute error = 4.11096889002430e-17 relative error = 2.1933309214321443889097780544088e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1674.6MB, alloc=4.6MB, time=180.16 NO POLE NO POLE x[1] = 1.065 y1[1] (analytic) = 1.4845042117345602384786684044334 y1[1] (numeric) = 1.4845042117345602160061045564729 absolute error = 2.24725638479605e-17 relative error = 1.5138093695067772552946022200402e-15 % h = 0.001 y2[1] (analytic) = 1.8747889281486548517942403815169 y2[1] (numeric) = 1.8747889281486548106194134282614 absolute error = 4.11748269532555e-17 relative error = 2.1962380049852036276075374745076e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.066 y1[1] (analytic) = 1.4836291807001240514231058565195 y1[1] (numeric) = 1.4836291807001240289684831138514 absolute error = 2.24546227426681e-17 relative error = 1.5134929290128798887194166530663e-15 % h = 0.001 y2[1] (analytic) = 1.875272994885211089324525990729 y2[1] (numeric) = 1.8752729948852110480845555840305 absolute error = 4.12399704066985e-17 relative error = 2.1991448988589991652695611817694e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1678.4MB, alloc=4.6MB, time=180.77 NO POLE NO POLE x[1] = 1.067 y1[1] (analytic) = 1.4827536660365474666738734814705 y1[1] (numeric) = 1.482753666036547444237299681663 absolute error = 2.24365737998075e-17 relative error = 1.5131693357927246521663215529440e-15 % h = 0.001 y2[1] (analytic) = 1.8757561863488453810575313958413 y2[1] (numeric) = 1.8757561863488453397524122857723 absolute error = 4.13051191100690e-17 relative error = 2.2020515998120901148691212650067e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.068 y1[1] (analytic) = 1.4818776686193450748480031624552 y1[1] (numeric) = 1.4818776686193450524295861714746 absolute error = 2.24184169909806e-17 relative error = 1.5128385740415185743438231666699e-15 % h = 0.001 y2[1] (analytic) = 1.8762385020563663036249188245075 y2[1] (numeric) = 1.8762385020563662622546459116955 absolute error = 4.13702729128120e-17 relative error = 2.2049581046050373941188884845189e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1682.3MB, alloc=4.6MB, time=181.37 NO POLE NO POLE x[1] = 1.069 y1[1] (analytic) = 1.4810011893245142201481043918041 y1[1] (numeric) = 1.4810011893245141977479521038218 absolute error = 2.24001522879823e-17 relative error = 1.5125006279163777486057092315305e-15 % h = 0.001 y2[1] (analytic) = 1.876719941525458189698739996318 y2[1] (numeric) = 1.8767199415254581482633083319967 absolute error = 4.14354316643213e-17 relative error = 2.2078644100004208161290604728564e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.07 y1[1] (analytic) = 1.4801242290285341243650930681759 y1[1] (numeric) = 1.4801242290285341019833134053749 absolute error = 2.23817796628010e-17 relative error = 1.5121554815362406768834048413641e-15 % h = 0.001 y2[1] (analytic) = 1.8772005042746816103070632577768 y2[1] (numeric) = 1.8772005042746815688064680438378 absolute error = 4.15005952139390e-17 relative error = 2.2107705127627868970223469273015e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1686.1MB, alloc=4.6MB, time=181.98 NO POLE NO POLE x[1] = 1.071 y1[1] (analytic) = 1.4792467886083650103990427455749 y1[1] (numeric) = 1.4792467886083649880357436579563 absolute error = 2.23632990876186e-17 relative error = 1.5118031189817475404241769429383e-15 % h = 0.001 y2[1] (analytic) = 1.8776801898234738562733624342827 y2[1] (numeric) = 1.877680189823473814707599023326 absolute error = 4.15657634109567e-17 relative error = 2.2136764096586872762691693780522e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.072 y1[1] (analytic) = 1.478368868941447225299034813293 y1[1] (numeric) = 1.4783688689414472029543242784825 absolute error = 2.23447105348105e-17 relative error = 1.5114435242951190770449623887649e-15 % h = 0.001 y2[1] (analytic) = 1.8781589976921494187791859597638 y2[1] (numeric) = 1.878158997692149377148249855149 absolute error = 4.16309361046148e-17 relative error = 2.2165820974566159105479898666229e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.073 y1[1] (analytic) = 1.4774904709057003628228845668551 y1[1] (numeric) = 1.4774904709057003404968705899094 absolute error = 2.23260139769457e-17 relative error = 1.5110766814800418315593776634356e-15 % h = 0.001 y2[1] (analytic) = 1.8786369274019004690496257213382 y2[1] (numeric) = 1.878636927401900427353512577235 absolute error = 4.16961131441032e-17 relative error = 2.2194875729270208811299571209235e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1689.9MB, alloc=4.6MB, time=182.59 NO POLE NO POLE x[1] = 1.074 y1[1] (analytic) = 1.4766115953795223855176206101673 y1[1] (numeric) = 1.4766115953795223632104112233806 absolute error = 2.23072093867867e-17 relative error = 1.5107025745015394892097977589622e-15 % h = 0.001 y2[1] (analytic) = 1.8791139784747973371611059335712 y2[1] (numeric) = 1.8791139784747972953998115550097 absolute error = 4.17612943785615e-17 relative error = 2.2223928328422895701755852188125e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.075 y1[1] (analytic) = 1.4757322432417887463215955083164 y1[1] (numeric) = 1.4757322432417887240332987710264 absolute error = 2.22882967372900e-17 relative error = 1.5103211872858844445422897402310e-15 % h = 0.001 y2[1] (analytic) = 1.8795901504337889899710132345797 y2[1] (numeric) = 1.8795901504337889481445335775004 absolute error = 4.18264796570793e-17 relative error = 2.2252978739767391752201868142111e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1693.7MB, alloc=4.6MB, time=183.19 NO POLE NO POLE x[1] = 1.076 y1[1] (analytic) = 1.4748524153718515096891060888357 y1[1] (numeric) = 1.4748524153718514874198300872299 absolute error = 2.22692760016058e-17 relative error = 1.5099325037204548490113819749104e-15 % h = 0.001 y2[1] (analytic) = 1.8800654428027035081686900743944 y2[1] (numeric) = 1.8800654428027034662770212456979 absolute error = 4.18916688286965e-17 relative error = 2.2282026931066072333733174793003e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.077 y1[1] (analytic) = 1.4739721126495384722384022667445 y1[1] (numeric) = 1.4739721126495384499882551136664 absolute error = 2.22501471530781e-17 relative error = 1.5095365076536183223462341358558e-15 % h = 0.001 y2[1] (analytic) = 1.8805398551062485624473143446251 y2[1] (numeric) = 1.880539855106248520490452602222 absolute error = 4.19568617424031e-17 relative error = 2.2311072870100155670933431360441e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1697.5MB, alloc=4.7MB, time=183.80 NO POLE NO POLE x[1] = 1.078 y1[1] (analytic) = 1.4730913359551522829239637452787 y1[1] (numeric) = 1.4730913359551522606930535800338 absolute error = 2.22309101652449e-17 relative error = 1.5091331828946220738728966950451e-15 % h = 0.001 y2[1] (analytic) = 1.8810133868700118887961890775899 y2[1] (numeric) = 1.8810133868700118467741308304503 absolute error = 4.20220582471396e-17 relative error = 2.2340116524669661774775478505807e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.079 y1[1] (analytic) = 1.472210086169469562733924419963 y1[1] (numeric) = 1.4722100861694695405223594081248 absolute error = 2.22115650118382e-17 relative error = 1.5087225132134690832425705080837e-15 % h = 0.001 y2[1] (analytic) = 1.8814860376204617629129669226588 y2[1] (numeric) = 1.881486037620461720825708730861 absolute error = 4.20872581917978e-17 relative error = 2.2369157862593583987196355565156e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1701.3MB, alloc=4.7MB, time=184.40 NO POLE NO POLE x[1] = 1.08 y1[1] (analytic) = 1.471328364173740023913524788526 y1[1] (numeric) = 1.4713283641737400017214131217418 absolute error = 2.21921116667842e-17 relative error = 1.5083044823408074685694236254858e-15 % h = 0.001 y2[1] (analytic) = 1.8819578068849474737353349876248 y2[1] (numeric) = 1.8819578068849474315828735624043 absolute error = 4.21524614252205e-17 relative error = 2.2398196851709475722354726333635e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.081 y1[1] (analytic) = 1.4704461708496855887154731431336 y1[1] (numeric) = 1.4704461708496855665429230389303 absolute error = 2.21725501042033e-17 relative error = 1.5078790739678058948080516097254e-15 % h = 0.001 y2[1] (analytic) = 1.8824286941916997960916865134587 y2[1] (numeric) = 1.8824286941916997538740187172573 absolute error = 4.22176677962014e-17 relative error = 2.2427233459873144028286719933222e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1705.1MB, alloc=4.7MB, time=185.00 NO POLE NO POLE x[1] = 1.082 y1[1] (analytic) = 1.4695635070794995076780967945048 y1[1] (numeric) = 1.4695635070794994855252164960948 absolute error = 2.21528802984100e-17 relative error = 1.5074462717460217685883300553589e-15 % h = 0.001 y2[1] (analytic) = 1.8828986990698314624703067318156 y2[1] (numeric) = 1.8828986990698314201874295783294 absolute error = 4.22828771534862e-17 relative error = 2.2456267654958980875067017594176e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.083 y1[1] (analytic) = 1.4686803737458454774321650496862 y1[1] (numeric) = 1.468680373745845455299062825773 absolute error = 2.21331022239132e-17 relative error = 1.5070060592872962333906677135646e-15 % h = 0.001 y2[1] (analytic) = 1.8833678210493376339066011361452 y2[1] (numeric) = 1.8833678210493375915585117903728 absolute error = 4.23480893457724e-17 relative error = 2.2485299404859603645995776239705e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.084 y1[1] (analytic) = 1.4677967717318567580372661365885 y1[1] (numeric) = 1.4677967717318567359240502811724 absolute error = 2.21132158554161e-17 relative error = 1.5065584201636215745737639812734e-15 % h = 0.001 y2[1] (analytic) = 1.8838360596610963699878952792174 y2[1] (numeric) = 1.883836059661096327574591057508 absolute error = 4.24133042217094e-17 relative error = 2.2514328677485655368591637182905e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1709.0MB, alloc=4.7MB, time=185.60 NO POLE NO POLE x[1] = 1.085 y1[1] (analytic) = 1.466912701921135289848620738834 y1[1] (numeric) = 1.4669127019211352677553995710175 absolute error = 2.20932211678165e-17 relative error = 1.5061033379070354543852488698416e-15 % h = 0.001 y2[1] (analytic) = 1.8843034144368690979753360923033 y2[1] (numeric) = 1.8843034144368690554968144624044 absolute error = 4.24785216298989e-17 relative error = 2.2543355440765764405315287144480e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.086 y1[1] (analytic) = 1.4660281651977508099152152740286 y1[1] (numeric) = 1.4660281651977507878420971378219 absolute error = 2.20731181362067e-17 relative error = 1.5056407960094875210993878943102e-15 % h = 0.001 y2[1] (analytic) = 1.8847698849093010810424256041483 y2[1] (numeric) = 1.8847698849093010384986841852532 absolute error = 4.25437414188951e-17 relative error = 2.2572379662646398042221459909107e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1712.8MB, alloc=4.7MB, time=186.22 NO POLE NO POLE x[1] = 1.087 y1[1] (analytic) = 1.4651431624462399679101385172507 y1[1] (numeric) = 1.4651431624462399458572317813774 absolute error = 2.20529067358733e-17 relative error = 1.5051707779226987515097836429364e-15 % h = 0.001 y2[1] (analytic) = 1.8852354706119218856297188212437 y2[1] (numeric) = 1.8852354706119218430207553840385 absolute error = 4.26089634372052e-17 relative error = 2.2601401311091875378221406166465e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.088 y1[1] (analytic) = 1.4642576945516054415940056393479 y1[1] (numeric) = 1.4642576945516054195614186970499 absolute error = 2.20325869422980e-17 relative error = 1.5046932670580886194482212284219e-15 % h = 0.001 y2[1] (analytic) = 1.8857001710791458479152184147362 y2[1] (numeric) = 1.8857001710791458052410308814472 absolute error = 4.26741875332890e-17 relative error = 2.2630420354083902871109307523588e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1716.6MB, alloc=4.7MB, time=186.84 NO POLE NO POLE x[1] = 1.089 y1[1] (analytic) = 1.4633717623993150518123541965422 y1[1] (numeric) = 1.4633717623993150298001954653852 absolute error = 2.20121587311570e-17 relative error = 1.5042082467866063729592698046844e-15 % h = 0.001 y2[1] (analytic) = 1.8861639858462725393999997436219 y2[1] (numeric) = 1.8861639858462724966605861880621 absolute error = 4.27394135555598e-17 relative error = 2.2659436759621799751446933682242e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.09 y1[1] (analytic) = 1.4624853668753008770278970738751 y1[1] (numeric) = 1.4624853668753008550362749955539 absolute error = 2.19916220783212e-17 relative error = 1.5037157004386164426109276194520e-15 % h = 0.001 y2[1] (analytic) = 1.886626914449487231608600628636 y2[1] (numeric) = 1.8866269144494871888039592762518 absolute error = 4.28046413523842e-17 relative error = 2.2688450495722140003982299125487e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1720.4MB, alloc=4.7MB, time=187.44 NO POLE NO POLE x[1] = 1.091 y1[1] (analytic) = 1.4615985088659583673885178501657 y1[1] (numeric) = 1.461598508865958345417540890309 absolute error = 2.19709769598567e-17 relative error = 1.5032156113038040015585627898595e-15 % h = 0.001 y2[1] (analytic) = 1.8870889564258613599037111764894 y2[1] (numeric) = 1.8870889564258613170338404044065 absolute error = 4.28698707720829e-17 relative error = 2.2717461530418924744687845538110e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.092 y1[1] (analytic) = 1.4607111892581454583318945164118 y1[1] (numeric) = 1.4607111892581454363816711643875 absolute error = 2.19502233520243e-17 relative error = 1.5027079626310117654939316345769e-15 % h = 0.001 y2[1] (analytic) = 1.8875501113133529864146998397988 y2[1] (numeric) = 1.8875501113133529434795981768687 absolute error = 4.29351016629301e-17 relative error = 2.2746469831763012594172756753921e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1724.2MB, alloc=4.7MB, time=188.05 NO POLE NO POLE x[1] = 1.093 y1[1] (analytic) = 1.4598234089391816837276379429376 y1[1] (numeric) = 1.4598234089391816617982767116577 absolute error = 2.19293612312799e-17 relative error = 1.5021927376281378928203729640163e-15 % h = 0.001 y2[1] (analytic) = 1.8880103786508072620795127842255 y2[1] (numeric) = 1.888010378650807219079178911071 absolute error = 4.30003338731545e-17 relative error = 2.2775475367822398290497172578430e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.094 y1[1] (analytic) = 1.4589351687968472885578319530748 y1[1] (numeric) = 1.4589351687968472666494413788005 absolute error = 2.19083905742743e-17 relative error = 1.5016699194619924306107709431432e-15 % h = 0.001 y2[1] (analytic) = 1.8884697579779568877994845209589 y2[1] (numeric) = 1.88846975797795684473391727002 absolute error = 4.30655672509389e-17 relative error = 2.2804478106681749504394120461486e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.095 y1[1] (analytic) = 1.4580464697193823411368623227636 y1[1] (numeric) = 1.4580464697193823192495509649099 absolute error = 2.18873113578537e-17 relative error = 1.5011394912582012901576984532112e-15 % h = 0.001 y2[1] (analytic) = 1.888928248835422574706598649776 y2[1] (numeric) = 1.8889282488354225315757970053549 absolute error = 4.31308016444211e-17 relative error = 2.2833478016442632502786827345428e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1728.0MB, alloc=4.7MB, time=188.65 NO POLE NO POLE x[1] = 1.096 y1[1] (analytic) = 1.4571573125954858448714224861697 y1[1] (numeric) = 1.4571573125954858230052989271104 absolute error = 2.18661235590593e-17 relative error = 1.5006014361010481523137684653349e-15 % h = 0.001 y2[1] (analytic) = 1.8893858507647135035427384454507 y2[1] (numeric) = 1.8893858507647134603467015437572 absolute error = 4.31960369016935e-17 relative error = 2.2862475065223049380418925152797e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.097 y1[1] (analytic) = 1.4562676983143148495615841872392 y1[1] (numeric) = 1.4562676983143148277167570321115 absolute error = 2.18448271551277e-17 relative error = 1.5000557370333707743068848700216e-15 % h = 0.001 y2[1] (analytic) = 1.8898425633082277831504679083043 y2[1] (numeric) = 1.8898425633082277398891950375003 absolute error = 4.32612728708040e-17 relative error = 2.2891469221157663803186025025919e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1731.9MB, alloc=4.7MB, time=189.25 NO POLE NO POLE x[1] = 1.098 y1[1] (analytic) = 1.4553776277654835622438217760449 y1[1] (numeric) = 1.4553776277654835404203996525541 absolute error = 2.18234221234908e-17 relative error = 1.4995023770564226069539347227399e-15 % h = 0.001 y2[1] (analytic) = 1.8902983860092529080748847881513 y2[1] (numeric) = 1.8902983860092528647483753883957 absolute error = 4.33265093997556e-17 relative error = 2.2920460452397338652967529551015e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.099 y1[1] (analytic) = 1.4544871018390624575768793068267 y1[1] (numeric) = 1.4544871018390624357749708650507 absolute error = 2.18019084417760e-17 relative error = 1.4989413391297545760952125782266e-15 % h = 0.001 y2[1] (analytic) = 1.8907533184119662152760879798278 y2[1] (numeric) = 1.8907533184119661718843416433208 absolute error = 4.33917463365070e-17 relative error = 2.2949448727109203182273715695843e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1735.7MB, alloc=4.7MB, time=189.86 NO POLE NO POLE x[1] = 1.1 y1[1] (analytic) = 1.4535961214255773877713700517847 y1[1] (numeric) = 1.4535961214255773659910839639788 absolute error = 2.17802860878059e-17 relative error = 1.4983726061710620789125919596662e-15 % h = 0.001 y2[1] (analytic) = 1.8912073600614353399518025778717 y2[1] (numeric) = 1.891207360061435296494819048899 absolute error = 4.34569835289727e-17 relative error = 2.2978434013476455640920311694271e-15 % h = 0.001 Finished! Maximum Iterations Reached before Solution Completed! diff ( y1 , x , 1 ) = m1 * y2 + 1.0; diff ( y2 , x , 1 ) = y1 - 1.0; Iterations = 1000 Total Elapsed Time = 3 Minutes 9 Seconds Elapsed Time(since restart) = 3 Minutes 9 Seconds Expected Time Remaining = 28 Minutes 9 Seconds Optimized Time Remaining = 28 Minutes 8 Seconds Time to Timeout = 11 Minutes 50 Seconds Percent Done = 10.11 % > quit memory used=1736.8MB, alloc=4.7MB, time=190.03